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19975487120 = 2452329273709
BaseRepresentation
bin10010100110101000…
…011011111010010000
31220120010101212220022
4102212220123322100
5311402211041440
613102052003012
71305003560531
oct224650337220
956503355808
1019975487120
118520707146
123a55900468
131b645a4384
14d76d44688
157bda27cb5
hex4a6a1be90

19975487120 has 80 divisors (see below), whose sum is σ = 48491896320. Its totient is φ = 7638124032.

The previous prime is 19975487047. The next prime is 19975487149. The reversal of 19975487120 is 2178457991.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5383826 + ... + 5387534.

It is an arithmetic number, because the mean of its divisors is an integer number (606148704).

Almost surely, 219975487120 is an apocalyptic number.

19975487120 is a gapful number since it is divisible by the number (10) 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 19975487120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24245948160).

19975487120 is an abundant number, since it is smaller than the sum of its proper divisors (28516409200).

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

19975487120 is a wasteful number, since it uses less digits than its factorization.

19975487120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 53.

The spelling of 19975487120 in words is "nineteen billion, nine hundred seventy-five million, four hundred eighty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2927 3709 5854 7418 11708 14635 14836 18545 23416 29270 29672 37090 46832 58540 59344 67321 74180 85307 117080 134642 148360 170614 234160 269284 296720 336605 341228 426535 538568 673210 682456 853070 1077136 1346420 1364912 1706140 2692840 3412280 5385680 6824560 10856243 21712486 43424972 54281215 86849944 108562430 173699888 217124860 249693589 434249720 499387178 868499440 998774356 1248467945 1997548712 2496935890 3995097424 4993871780 9987743560 19975487120