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20013725454120 = 23325371502531941
BaseRepresentation
bin1001000110011110011101…
…11111110000111100101000
32121212021220221022211002100
410203033032333300330220
510110401102204012440
6110322102322133400
74133641526324046
oct443171677607450
977767827284070
1020013725454120
116416856297952
1222b29641b1260
13b22394a67918
144d29530a9396
1524a909d37230
hex1233ceff0f28

20013725454120 has 96 divisors (see below), whose sum is σ = 66802570141320. Its totient is φ = 5192750384640.

The previous prime is 20013725454017. The next prime is 20013725454127. The reversal of 20013725454120 is 2145452731002.

20013725454120 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 72 + 545 + 41 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18727619761764 + 1286105692356 = 4327542^2 + 1134066^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20013725454127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751252651 + ... + 751279290.

Almost surely, 220013725454120 is an apocalyptic number.

20013725454120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20013725454120 is an abundant number, since it is smaller than the sum of its proper divisors (46788844687200).

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

20013725454120 is a wasteful number, since it uses less digits than its factorization.

20013725454120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502531995 (or 1502531988 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20013725454120 in words is "twenty trillion, thirteen billion, seven hundred twenty-five million, four hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 1502531941 3005063882 4507595823 6010127764 7512659705 9015191646 12020255528 13522787469 15025319410 18030383292 22537979115 27045574938 30050638820 36060766584 45075958230 54091149876 55593681817 60101277640 67613937345 90151916460 108182299752 111187363634 135227874690 166781045451 180303832920 222374727268 270455749380 277968409085 333562090902 444749454536 500343136353 540911498760 555936818170 667124181804 833905227255 1000686272706 1111873636340 1334248363608 1667810454510 2001372545412 2223747272680 2501715681765 3335620909020 4002745090824 5003431363530 6671241818040 10006862727060 20013725454120