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30681186016 = 25131719228337
BaseRepresentation
bin11100100100101111…
…011011111011100000
32221012020001201220211
4130210233123323200
51000313340423031
622032244143504
72134210530625
oct344457337340
987166051824
1030681186016
1112014803188
125b43097b94
132b7c547b50
1416b0ac634c
15be8831bb1
hex724bdbee0

30681186016 has 96 divisors (see below), whose sum is σ = 72501881760. Its totient is φ = 12626067456.

The previous prime is 30681185989. The next prime is 30681186091. The reversal of 30681186016 is 61068118603.

It is a super-4 number, since 4×306811860164 (a number of 43 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30681186016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20200 + ... + 248536.

It is an arithmetic number, because the mean of its divisors is an integer number (755227935).

Almost surely, 230681186016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30681186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36250940880).

30681186016 is an abundant number, since it is smaller than the sum of its proper divisors (41820695744).

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

30681186016 is a wasteful number, since it uses less digits than its factorization.

30681186016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228396 (or 228388 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 30681186016 in words is "thirty billion, six hundred eighty-one million, one hundred eighty-six thousand, sixteen".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 208 221 247 272 304 323 416 442 494 544 608 646 884 988 1292 1768 1976 2584 3536 3952 4199 5168 7072 7904 8398 10336 16796 33592 67184 134368 228337 456674 913348 1826696 2968381 3653392 3881729 4338403 5936762 7306784 7763458 8676806 11873524 15526916 17353612 23747048 31053832 34707224 47494096 50462477 56399239 62107664 69414448 73752851 94988192 100924954 112798478 124215328 138828896 147505702 201849908 225596956 295011404 403699816 451193912 590022808 807399632 902387824 958787063 1180045616 1614799264 1804775648 1917574126 2360091232 3835148252 7670296504 15340593008 30681186016