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2168399904 = 253113166239
BaseRepresentation
bin1000000100111111…
…0010100000100000
312121010020010110120
42001033302200200
513420102244104
6555100200240
7104510044416
oct20117624040
95533203416
102168399904
11a13006a40
12506239080
13287319288
14167db32b6
15ca578cd9
hex813f2820

2168399904 has 96 divisors (see below), whose sum is σ = 6409912320. Its totient is φ = 635884800.

The previous prime is 2168399903. The next prime is 2168399939. The reversal of 2168399904 is 4099938612.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2168399903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384 + ... + 65855.

It is an arithmetic number, because the mean of its divisors is an integer number (66769920).

Almost surely, 22168399904 is an apocalyptic number.

2168399904 is a gapful number since it is divisible by the number (24) 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 2168399904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204956160).

2168399904 is an abundant number, since it is smaller than the sum of its proper divisors (4241512416).

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

2168399904 is a wasteful number, since it uses less digits than its factorization.

2168399904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66294 (or 66286 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The square root of 2168399904 is about 46566.0810461864. The cubic root of 2168399904 is about 1294.3342988578.

The spelling of 2168399904 in words is "two billion, one hundred sixty-eight million, three hundred ninety-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 66 88 93 96 124 132 176 186 248 264 341 352 372 496 528 682 744 992 1023 1056 1364 1488 2046 2728 2976 4092 5456 8184 10912 16368 32736 66239 132478 198717 264956 397434 529912 728629 794868 1059824 1457258 1589736 2053409 2119648 2185887 2914516 3179472 4106818 4371774 5829032 6160227 6358944 8213636 8743548 11658064 12320454 16427272 17487096 22587499 23316128 24640908 32854544 34974192 45174998 49281816 65709088 67762497 69948384 90349996 98563632 135524994 180699992 197127264 271049988 361399984 542099976 722799968 1084199952 2168399904