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16931493936 = 2433748711497
BaseRepresentation
bin11111100010011001…
…00001100000110000
31121200222121000021000
433301030201200300
5234133430301221
611440032402000
71136402216040
oct176114414060
947628530230
1016931493936
1171a9428aa5
1233463a6300
13179aa58886
14b68969720
15691693e26
hex3f1321830

16931493936 has 160 divisors (see below), whose sum is σ = 55661358080. Its totient is φ = 4827216384.

The previous prime is 16931493923. The next prime is 16931493983. The reversal of 16931493936 is 63939413961.

16931493936 is a `hidden beast` number, since 1 + 69 + 3 + 1 + 493 + 93 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

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, 1466940 + ... + 1478436.

It is an arithmetic number, because the mean of its divisors is an integer number (347883488).

Almost surely, 216931493936 is an apocalyptic number.

16931493936 is a gapful number since it is divisible by the number (16) 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 16931493936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27830679040).

16931493936 is an abundant number, since it is smaller than the sum of its proper divisors (38729864144).

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

16931493936 is a wasteful number, since it uses less digits than its factorization.

16931493936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12008 (or 11996 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The spelling of 16931493936 in words is "sixteen billion, nine hundred thirty-one million, four hundred ninety-three thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 487 504 756 974 1008 1461 1512 1948 2922 3024 3409 3896 4383 5844 6818 7792 8766 10227 11497 11688 13149 13636 17532 20454 22994 23376 26298 27272 30681 34491 35064 40908 45988 52596 54544 61362 68982 70128 80479 81816 91976 92043 103473 105192 122724 137964 160958 163632 183952 184086 206946 210384 241437 245448 275928 310419 321916 368172 413892 482874 490896 551856 620838 643832 724311 736344 827784 965748 1241676 1287664 1448622 1472688 1655568 1931496 2172933 2483352 2897244 3862992 4345866 4966704 5599039 5794488 8691732 11198078 11588976 16797117 17383464 22396156 33594234 34766928 39193273 44792312 50391351 67188468 78386546 89584624 100782702 117579819 134376936 151174053 156773092 201565404 235159638 268753872 302348106 313546184 352739457 403130808 470319276 604696212 627092368 705478914 806261616 940638552 1058218371 1209392424 1410957828 1881277104 2116436742 2418784848 2821915656 4232873484 5643831312 8465746968 16931493936