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20054042400 = 2535271193693
BaseRepresentation
bin10010101011010100…
…000110011100100000
31220202121012220111010
4102223110012130200
5312032313324100
613113535420520
71306646355630
oct225324063440
956677186433
1020054042400
118560a90967
123a78084740
131b77949ca2
14d835526c0
157c5893750
hex4ab506720

20054042400 has 144 divisors (see below), whose sum is σ = 74601100224. Its totient is φ = 4583777280.

The previous prime is 20054042389. The next prime is 20054042413. The reversal of 20054042400 is 424045002.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580047 + ... + 613646.

It is an arithmetic number, because the mean of its divisors is an integer number (518063196).

Almost surely, 220054042400 is an apocalyptic number.

20054042400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20054042400 is an abundant number, since it is smaller than the sum of its proper divisors (54547057824).

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

20054042400 is a wasteful number, since it uses less digits than its factorization.

20054042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193723 (or 1193710 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

Adding to 20054042400 its reverse (424045002), we get a palindrome (20478087402).

The spelling of 20054042400 in words is "twenty billion, fifty-four million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 84 96 100 105 112 120 140 150 160 168 175 200 210 224 240 280 300 336 350 400 420 480 525 560 600 672 700 800 840 1050 1120 1200 1400 1680 2100 2400 2800 3360 4200 5600 8400 16800 1193693 2387386 3581079 4774772 5968465 7162158 8355851 9549544 11936930 14324316 16711702 17905395 19099088 23873860 25067553 28648632 29842325 33423404 35810790 38198176 41779255 47747720 50135106 57297264 59684650 66846808 71621580 83558510 89526975 95495440 100270212 114594528 119369300 125337765 133693616 143243160 167117020 179053950 190990880 200540424 208896275 238738600 250675530 267387232 286486320 334234040 358107900 401080848 417792550 477477200 501351060 572972640 626688825 668468080 716215800 802161696 835585100 954954400 1002702120 1253377650 1336936160 1432431600 1671170200 2005404240 2506755300 2864863200 3342340400 4010808480 5013510600 6684680800 10027021200 20054042400