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31909418748 = 22331991916921
BaseRepresentation
bin11101101101111100…
…110001011011111100
310001100211012102111000
4131231330301123330
51010322302344443
622354201330300
72206513404234
oct355574613374
9101324172430
1031909418748
1112595042659
126226496990
133016b45a8c
141789c84cc4
15c6b5978d3
hex76df316fc

31909418748 has 96 divisors (see below), whose sum is σ = 87182144000. Its totient is φ = 10065098880.

The previous prime is 31909418731. The next prime is 31909418789. The reversal of 31909418748 is 84781490913.

It is a super-2 number, since 2×319094187482 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31909418694 and 31909418703.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1877328 + ... + 1894248.

Almost surely, 231909418748 is an apocalyptic number.

31909418748 is a gapful number since it is divisible by the number (38) 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 31909418748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43591072000).

31909418748 is an abundant number, since it is smaller than the sum of its proper divisors (55272725252).

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

31909418748 is a wasteful number, since it uses less digits than its factorization.

31909418748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17872 (or 17864 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 31909418748 in words is "thirty-one billion, nine hundred nine million, four hundred eighteen thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 919 1026 1838 2052 2757 3676 5514 8271 11028 16542 16921 17461 24813 33084 33842 34922 49626 50763 52383 67684 69844 99252 101526 104766 152289 157149 203052 209532 304578 314298 321499 456867 471447 609156 628596 642998 913734 942894 964497 1285996 1827468 1885788 1928994 2893491 3857988 5786982 8680473 11573964 15550399 17360946 31100798 34721892 46651197 62201596 93302394 139953591 186604788 279907182 295457581 419860773 559814364 590915162 839721546 886372743 1181830324 1679443092 1772745486 2659118229 3545490972 5318236458 7977354687 10636472916 15954709374 31909418748