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19140436608 = 273232279547
BaseRepresentation
bin10001110100110110…
…111110001010000000
31211101221002220221120
4101310312332022000
5303144422432413
612443141552240
71245214012116
oct216466761200
954357086846
1019140436608
118132306357
123862115680
131a6059b747
14cd8093ab6
1577057a723
hex474dbe280

19140436608 has 128 divisors (see below), whose sum is σ = 53291589120. Its totient is φ = 6075227136.

The previous prime is 19140436583. The next prime is 19140436621. The reversal of 19140436608 is 80663404191.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 19140436608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000091 + ... + 2009637.

It is an arithmetic number, because the mean of its divisors is an integer number (416340540).

Almost surely, 219140436608 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 19140436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645794560).

19140436608 is an abundant number, since it is smaller than the sum of its proper divisors (34151152512).

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

19140436608 is a wasteful number, since it uses less digits than its factorization.

19140436608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9814 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 19140436608 in words is "nineteen billion, one hundred forty million, four hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 227 276 368 384 454 552 681 736 908 1104 1362 1472 1816 2208 2724 2944 3632 4416 5221 5448 7264 8832 9547 10442 10896 14528 15663 19094 20884 21792 28641 29056 31326 38188 41768 43584 57282 62652 76376 83536 87168 114564 125304 152752 167072 219581 229128 250608 305504 334144 439162 458256 501216 611008 658743 668288 878324 916512 1002432 1222016 1317486 1756648 1833024 2004864 2167169 2634972 3513296 3666048 4334338 5269944 6501507 7026592 8668676 10539888 13003014 14053184 17337352 21079776 26006028 28106368 34674704 42159552 49844887 52012056 69349408 84319104 99689774 104024112 138698816 149534661 199379548 208048224 277397632 299069322 398759096 416096448 598138644 797518192 832192896 1196277288 1595036384 2392554576 3190072768 4785109152 6380145536 9570218304 19140436608