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30972458634 = 2313259677727
BaseRepresentation
bin11100110110000110…
…100011011010001010
32221221112010220211120
4130312012203122022
51001412422134014
622121211140110
72144345361135
oct346606433212
987845126746
1030972458634
1112154166657
126004744636
132bc79ab400
1416db66721c
15c141b9ba9
hex7361a368a

30972458634 has 96 divisors (see below), whose sum is σ = 69240407040. Its totient is φ = 9227439936.

The previous prime is 30972458563. The next prime is 30972458653. The reversal of 30972458634 is 43685427903.

It is a super-2 number, since 2×309724586342 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 4004479 + ... + 4012205.

It is an arithmetic number, because the mean of its divisors is an integer number (721254240).

Almost surely, 230972458634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30972458634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34620203520).

30972458634 is an abundant number, since it is smaller than the sum of its proper divisors (38267948406).

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

30972458634 is a wasteful number, since it uses less digits than its factorization.

30972458634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7884 (or 7871 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 30972458634 in words is "thirty billion, nine hundred seventy-two million, four hundred fifty-eight thousand, six hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 59 67 78 118 134 169 177 201 338 354 402 507 767 871 1014 1534 1742 2301 2613 3953 4602 5226 7727 7906 9971 11323 11859 15454 19942 22646 23181 23718 29913 33969 46362 51389 59826 67938 100451 102778 154167 200902 301353 308334 455893 517709 602706 668057 911786 1035418 1305863 1336114 1367679 1553127 2004171 2611726 2735358 3106254 3917589 4008342 5926609 6730217 7835178 11853218 13460434 17779827 20190651 30544831 35559654 40381302 61089662 77045917 87492821 91634493 154091834 174985642 183268986 231137751 262478463 397082803 462275502 524956926 794165606 1191248409 2382496818 5162076439 10324152878 15486229317 30972458634