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61684907904 = 2732359149153
BaseRepresentation
bin111001011100101101…
…001111111110000000
312220012221000222212200
4321130231033332000
52002312314023104
644200533353200
74312416031434
oct713455177600
9186187028780
1061684907904
1124184582334
12bb56198800
135a80851209
142db256a9c4
151910624b39
hexe5cb4ff80

61684907904 has 96 divisors (see below), whose sum is σ = 178000383600. Its totient is φ = 20504223744.

The previous prime is 61684907897. The next prime is 61684907959. The reversal of 61684907904 is 40970948616.

61684907904 is a `hidden beast` number, since 6 + 1 + 68 + 490 + 7 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338992 + ... + 488144.

Almost surely, 261684907904 is an apocalyptic number.

61684907904 is a gapful number since it is divisible by the number (64) 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 61684907904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89000191800).

61684907904 is an abundant number, since it is smaller than the sum of its proper divisors (116315475696).

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

61684907904 is a wasteful number, since it uses less digits than its factorization.

61684907904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149532 (or 149517 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 61684907904 in words is "sixty-one billion, six hundred eighty-four million, nine hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 359 384 576 718 1077 1152 1436 2154 2872 3231 4308 5744 6462 8616 11488 12924 17232 22976 25848 34464 45952 51696 68928 103392 137856 149153 206784 298306 413568 447459 596612 894918 1193224 1342377 1789836 2386448 2684754 3579672 4772896 5369508 7159344 9545792 10739016 14318688 19091584 21478032 28637376 42956064 53545927 57274752 85912128 107091854 160637781 171824256 214183708 321275562 428367416 481913343 642551124 856734832 963826686 1285102248 1713469664 1927653372 2570204496 3426939328 3855306744 5140408992 6853878656 7710613488 10280817984 15421226976 20561635968 30842453952 61684907904