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61605016616 = 231113591795099
BaseRepresentation
bin111001010111111100…
…011111010000101000
312220000100201002122002
4321113330133100220
52002131341012431
644145001150132
74310426000303
oct712774372050
9186010632562
1061605016616
1124143475880
12bb3348b348
135a6a12b470
142da5ad1b3a
1519085e33cb
hexe57f1f428

61605016616 has 128 divisors (see below), whose sum is σ = 138801600000. Its totient is φ = 25263240960.

The previous prime is 61605016607. The next prime is 61605016657. The reversal of 61605016616 is 61661050616.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61605016616.

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, 12079235 + ... + 12084333.

It is an arithmetic number, because the mean of its divisors is an integer number (1084387500).

Almost surely, 261605016616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61605016616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69400800000).

61605016616 is an abundant number, since it is smaller than the sum of its proper divisors (77196583384).

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

61605016616 is a wasteful number, since it uses less digits than its factorization.

61605016616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5367 (or 5363 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The spelling of 61605016616 in words is "sixty-one billion, six hundred five million, sixteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 22 26 44 52 59 88 104 118 143 179 236 286 358 472 572 649 716 767 1144 1298 1432 1534 1969 2327 2596 3068 3938 4654 5099 5192 6136 7876 8437 9308 10198 10561 15752 16874 18616 20396 21122 25597 33748 40792 42244 51194 56089 66287 67496 84488 102388 112178 116171 132574 137293 204776 224356 232342 265148 274586 300841 448712 464684 530296 549172 601682 729157 912721 929368 1098344 1203364 1458314 1510223 1825442 2406728 2916628 3020446 3309251 3650884 3910933 5833256 6040892 6618502 7301768 7821866 10039931 11865373 12081784 13237004 15643732 20079862 23730746 26474008 31287464 40159724 43020263 47461492 53850539 80319448 86040526 94922984 107701078 130519103 172081052 215402156 261038206 344162104 430804312 522076412 592355929 700057007 1044152824 1184711858 1400114014 2369423716 2800228028 4738847432 5600456056 7700627077 15401254154 30802508308 61605016616