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331368417952 = 25111372414427
BaseRepresentation
bin1001101001001110001…
…10001100101010100000
31011200022122010202122121
410310213012030222200
520412120303333302
6412121211114024
732640422036035
oct4644706145240
91150278122577
10331368417952
11118594918a60
125427a742914
132532b865370
14120771db38c
1589464dee37
hex4d2718caa0

331368417952 has 48 divisors (see below), whose sum is σ = 766434305952. Its totient is φ = 139035697920.

The previous prime is 331368417949. The next prime is 331368417973. The reversal of 331368417952 is 259714863133.

It is a super-2 number, since 2×3313684179522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 331368417952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36202638 + ... + 36211789.

It is an arithmetic number, because the mean of its divisors is an integer number (15967381374).

Almost surely, 2331368417952 is an apocalyptic number.

331368417952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331368417952 is an abundant number, since it is smaller than the sum of its proper divisors (435065888000).

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

331368417952 is a wasteful number, since it uses less digits than its factorization.

331368417952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72414461 (or 72414453 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The spelling of 331368417952 in words is "three hundred thirty-one billion, three hundred sixty-eight million, four hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 176 208 286 352 416 572 1144 2288 4576 72414427 144828854 289657708 579315416 796558697 941387551 1158630832 1593117394 1882775102 2317261664 3186234788 3765550204 6372469576 7531100408 10355263061 12744939152 15062200816 20710526122 25489878304 30124401632 41421052244 82842104488 165684208976 331368417952