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19139509376 = 2713591371423
BaseRepresentation
bin10001110100110011…
…011011110010000000
31211101212100211000122
4101310303123302000
5303144203300001
612443110035412
71245203100611
oct216463336200
954355324018
1019139509376
118131832749
123861948b68
131a603356a0
14cd7cd1c08
15770445b1b
hex474cdbc80

19139509376 has 128 divisors (see below), whose sum is σ = 42092870400. Its totient is φ = 8614453248.

The previous prime is 19139509339. The next prime is 19139509397. The reversal of 19139509376 is 67390593191.

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

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

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, 13449401 + ... + 13450823.

It is an arithmetic number, because the mean of its divisors is an integer number (328850550).

Almost surely, 219139509376 is an apocalyptic number.

19139509376 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 19139509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21046435200).

19139509376 is an abundant number, since it is smaller than the sum of its proper divisors (22953361024).

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

19139509376 is a wasteful number, since it uses less digits than its factorization.

19139509376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 1377810, while the sum is 53.

The spelling of 19139509376 in words is "nineteen billion, one hundred thirty-nine million, five hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 137 208 236 274 416 472 548 767 832 944 1096 1423 1534 1664 1781 1888 2192 2846 3068 3562 3776 4384 5692 6136 7124 7552 8083 8768 11384 12272 14248 16166 17536 18499 22768 24544 28496 32332 36998 45536 49088 56992 64664 73996 83957 91072 98176 105079 113984 129328 147992 167914 182144 194951 210158 227968 258656 295984 335828 389902 420316 517312 591968 671656 779804 840632 1034624 1091441 1183936 1343312 1559608 1681264 2182882 2367872 2534363 2686624 3119216 3362528 4365764 5068726 5373248 6238432 6725056 8731528 10137452 10746496 11502109 12476864 13450112 17463056 20274904 23004218 24953728 34926112 40549808 46008436 69852224 81099616 92016872 139704448 149527417 162199232 184033744 299054834 324398464 368067488 598109668 736134976 1196219336 1472269952 2392438672 4784877344 9569754688 19139509376