Search a number
-
+
30861156352 = 213131971471
BaseRepresentation
bin11100101111011101…
…111110000000000000
32221122202201011210211
4130233131332000000
51001200424000402
622102153403504
72141524333525
oct345735760000
987582634724
1030861156352
11120a73555a4
125b93409594
132baa90b380
1416ca97314c
15c095314d7
hex72f77e000

30861156352 has 112 divisors (see below), whose sum is σ = 66848931072. Its totient is φ = 14161674240.

The previous prime is 30861156323. The next prime is 30861156379. The reversal of 30861156352 is 25365116803.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20978977 + ... + 20980447.

It is an arithmetic number, because the mean of its divisors is an integer number (596865456).

Almost surely, 230861156352 is an apocalyptic number.

30861156352 is a gapful number since it is divisible by the number (32) 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 30861156352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33424465536).

30861156352 is an abundant number, since it is smaller than the sum of its proper divisors (35987774720).

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

30861156352 is a wasteful number, since it uses less digits than its factorization.

30861156352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1707 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 30861156352 in words is "thirty billion, eight hundred sixty-one million, one hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 197 208 256 394 416 512 788 832 1024 1471 1576 1664 2048 2561 2942 3152 3328 4096 5122 5884 6304 6656 8192 10244 11768 12608 13312 19123 20488 23536 25216 26624 38246 40976 47072 50432 53248 76492 81952 94144 100864 106496 152984 163904 188288 201728 289787 305968 327808 376576 403456 579574 611936 655616 753152 806912 1159148 1223872 1311232 1506304 1613824 2318296 2447744 2622464 3012608 3767231 4636592 4895488 5244928 6025216 7534462 9273184 9790976 10489856 12050432 15068924 18546368 19581952 20979712 30137848 37092736 39163904 60275696 74185472 78327808 120551392 148370944 156655616 241102784 296741888 482205568 593483776 964411136 1186967552 1928822272 2373935104 3857644544 7715289088 15430578176 30861156352