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30974419764 = 223717208279
BaseRepresentation
bin11100110110001110…
…000010001100110100
32221221122211120000000
4130312032002030310
51001413422413024
622121321151300
72144401136541
oct346616021464
987848746000
1030974419764
1112155286022
12600532b530
132bc8216c42
1416dba17bc8
15c14455cc9
hex736382334

30974419764 has 96 divisors (see below), whose sum is σ = 86077958400. Its totient is φ = 9717418368.

The previous prime is 30974419739. The next prime is 30974419783. The reversal of 30974419764 is 46791447903.

It is a super-5 number, since 5×309744197645 (a number of 54 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 30974419764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44577 + ... + 252855.

It is an arithmetic number, because the mean of its divisors is an integer number (896645400).

Almost surely, 230974419764 is an apocalyptic number.

30974419764 is a gapful number since it is divisible by the number (34) 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 30974419764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43038979200).

30974419764 is an abundant number, since it is smaller than the sum of its proper divisors (55103538636).

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

30974419764 is a wasteful number, since it uses less digits than its factorization.

30974419764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208321 (or 208301 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 30974419764 in words is "thirty billion, nine hundred seventy-four million, four hundred nineteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 729 918 972 1377 1458 1836 2187 2754 2916 4131 4374 5508 8262 8748 12393 16524 24786 37179 49572 74358 148716 208279 416558 624837 833116 1249674 1874511 2499348 3540743 3749022 5623533 7081486 7498044 10622229 11247066 14162972 16870599 21244458 22494132 31866687 33741198 42488916 50611797 63733374 67482396 95600061 101223594 127466748 151835391 191200122 202447188 286800183 303670782 382400244 455506173 573600366 607341564 860400549 911012346 1147200732 1720801098 1822024692 2581201647 3441602196 5162403294 7743604941 10324806588 15487209882 30974419764