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19893830125104 = 24331311872984287
BaseRepresentation
bin1001000010111111001001…
…01011011000011000110000
32121102211110020010001012000
410201133210223120120300
510101420031003000404
6110151033245134000
74122165440666625
oct441374453303060
977384406101160
1019893830125104
11637aa20524681
12229368355a300
13b13c9846b160
144cac1ba0c34c
1524773e15a339
hex1217e4ad8630

19893830125104 has 160 divisors (see below), whose sum is σ = 61547000739840. Its totient is φ = 6116019602688.

The previous prime is 19893830125097. The next prime is 19893830125133. The reversal of 19893830125104 is 40152103839891.

It is a happy number.

19893830125104 is a `hidden beast` number, since 1 + 9 + 8 + 9 + 383 + 0 + 1 + 251 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 5174049 + ... + 8158335.

It is an arithmetic number, because the mean of its divisors is an integer number (384668754624).

Almost surely, 219893830125104 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 19893830125104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30773500369920).

19893830125104 is an abundant number, since it is smaller than the sum of its proper divisors (41653170614736).

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

19893830125104 is a wasteful number, since it uses less digits than its factorization.

19893830125104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985504 (or 2985492 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 19893830125104 in words is "nineteen trillion, eight hundred ninety-three billion, eight hundred thirty million, one hundred twenty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1187 1404 1872 2374 2808 3561 4748 5616 7122 9496 10683 14244 15431 18992 21366 28488 30862 32049 42732 46293 56976 61724 64098 85464 92586 123448 128196 138879 170928 185172 246896 256392 277758 370344 416637 512784 555516 740688 833274 1111032 1666548 2222064 2984287 3333096 5968574 6666192 8952861 11937148 17905722 23874296 26858583 35811444 38795731 47748592 53717166 71622888 77591462 80575749 107434332 116387193 143245776 155182924 161151498 214868664 232774386 310365848 322302996 349161579 429737328 465548772 620731696 644605992 698323158 931097544 1047484737 1289211984 1396646316 1862195088 2094969474 2793292632 3542348669 4189938948 5586585264 7084697338 8379877896 10627046007 14169394676 16759755792 21254092014 28338789352 31881138021 42508184028 46050532697 56677578704 63762276042 85016368056 92101065394 95643414063 127524552084 138151598091 170032736112 184202130788 191286828126 255049104168 276303196182 368404261576 382573656252 414454794273 510098208336 552606392364 736808523152 765147312504 828909588546 1105212784728 1243364382819 1530294625008 1657819177092 2210425569456 2486728765638 3315638354184 4973457531276 6631276708368 9946915062552 19893830125104