Search a number
-
+
153330510536016 = 243118291637213989
BaseRepresentation
bin100010110111010000001010…
…100111010001110101010000
3202002220020211220121220202020
4202313100022213101311100
5130044131341144123031
61302035021503251440
744203522663210152
oct4267201247216520
9662806756556666
10153330510536016
1144946116974560
12152445918a9b80
13677300b293408
1429c13445d8ad2
1512ad729ba6096
hex8b740a9d1d50

153330510536016 has 160 divisors (see below), whose sum is σ = 432900811324800. Its totient is φ = 46379177072640.

The previous prime is 153330510535973. The next prime is 153330510536057. The reversal of 153330510536016 is 610635015033351.

It is a super-2 number, since 2×1533305105360162 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 716427550 + ... + 716641538.

It is an arithmetic number, because the mean of its divisors is an integer number (2705630070780).

Almost surely, 2153330510536016 is an apocalyptic number.

153330510536016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153330510536016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216450405662400).

153330510536016 is an abundant number, since it is smaller than the sum of its proper divisors (279570300788784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

153330510536016 is a wasteful number, since it uses less digits than its factorization.

153330510536016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216477 (or 216471 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 42.

Adding to 153330510536016 its reverse (610635015033351), we get a palindrome (763965525569367).

The spelling of 153330510536016 in words is "one hundred fifty-three trillion, three hundred thirty billion, five hundred ten million, five hundred thirty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 829 1637 1658 2487 3274 3316 4911 4974 6548 6632 9119 9822 9948 13096 13264 18007 18238 19644 19896 26192 27357 36014 36476 39288 39792 54021 54714 72028 72952 78576 108042 109428 144056 145904 213989 216084 218856 288112 427978 432168 437712 641967 855956 864336 1283934 1357073 1711912 2353879 2567868 2714146 3423824 4071219 4707758 5135736 5428292 7061637 8142438 9415516 10271472 10856584 14123274 14927803 16284876 18831032 21713168 28246548 29855606 32569752 37662064 44783409 56493096 59711212 65139504 89566818 112986192 119422424 177396881 179133636 238844848 350299993 354793762 358267272 532190643 700599986 709587524 716534544 1050899979 1064381286 1401199972 1419175048 1951365691 2101799958 2128762572 2802399944 2838350096 3853299923 3902731382 4203599916 4257525144 5604799888 5854097073 7706599846 7805462764 8407199832 8515050288 11559899769 11708194146 15413199692 15610925528 16814399664 23119799538 23416388292 30826399384 31221851056 46239599076 46832776584 61652798768 92479198152 93665553168 184958396304 290398694197 580797388394 871196082591 1161594776788 1742392165182 2323189553576 3194385636167 3484784330364 4646379107152 6388771272334 6969568660728 9583156908501 12777542544668 13939137321456 19166313817002 25555085089336 38332627634004 51110170178672 76665255268008 153330510536016