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19923899424 = 25311132111641
BaseRepresentation
bin10010100011100011…
…101001010000100000
31220102112022221212220
4102203203221100200
5311301004240144
613053010151040
71303506231222
oct224343512040
956375287786
1019923899424
1184a4581590
123a40582480
131b569b1400
14d70156412
157b9237919
hex4a38e9420

19923899424 has 144 divisors (see below), whose sum is σ = 61781789664. Its totient is φ = 5573068800.

The previous prime is 19923899419. The next prime is 19923899459. The reversal of 19923899424 is 42499832991.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122644 + ... + 234284.

It is an arithmetic number, because the mean of its divisors is an integer number (429040206).

Almost surely, 219923899424 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 19923899424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30890894832).

19923899424 is an abundant number, since it is smaller than the sum of its proper divisors (41857890240).

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

19923899424 is a wasteful number, since it uses less digits than its factorization.

19923899424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111691 (or 111670 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The spelling of 19923899424 in words is "nineteen billion, nine hundred twenty-three million, eight hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 169 176 208 264 286 312 338 352 416 429 507 528 572 624 676 858 1014 1056 1144 1248 1352 1716 1859 2028 2288 2704 3432 3718 4056 4576 5408 5577 6864 7436 8112 11154 13728 14872 16224 22308 29744 44616 59488 89232 111641 178464 223282 334923 446564 669846 893128 1228051 1339692 1451333 1786256 2456102 2679384 2902666 3572512 3684153 4353999 4912204 5358768 5805332 7368306 8707998 9824408 10717536 11610664 14736612 15964663 17415996 18867329 19648816 23221328 29473224 31929326 34831992 37734658 39297632 46442656 47893989 56601987 58946448 63858652 69663984 75469316 95787978 113203974 117892896 127717304 139327968 150938632 191575956 207540619 226407948 255434608 301877264 383151912 415081238 452815896 510869216 603754528 622621857 766303824 830162476 905631792 1245243714 1532607648 1660324952 1811263584 2490487428 3320649904 4980974856 6641299808 9961949712 19923899424