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20013721567425 = 3252412817720673
BaseRepresentation
bin1001000110011110011101…
…10000111100000011000001
32121212021220200000100112200
410203033032300330003001
510110401100210124200
6110322102102543413
74133641451305425
oct443171660740301
977767820010480
1020013721567425
116416854082803
1222b2962a37b69
13b223940067c1
144d2952776b85
1524a90981a800
hex1233cec3c0c1

20013721567425 has 72 divisors (see below), whose sum is σ = 36851796130968. Its totient is φ = 10376583168000.

The previous prime is 20013721567409. The next prime is 20013721567517. The reversal of 20013721567425 is 52476512731002.

20013721567425 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 7 + 215 + 6 + 7 + 425 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 15423873800976 + 4589847766449 = 3927324^2 + 2142393^2 .

It is not a de Polignac number, because 20013721567425 - 24 = 20013721567409 is a prime.

It is a super-2 number, since 2×200137215674252 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1268112 + ... + 6452561.

It is an arithmetic number, because the mean of its divisors is an integer number (511830501819).

Almost surely, 220013721567425 is an apocalyptic number.

20013721567425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

20013721567425 is a deficient number, since it is larger than the sum of its proper divisors (16838074563543).

20013721567425 is a wasteful number, since it uses less digits than its factorization.

20013721567425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7721011 (or 7721003 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 20013721567425 in words is "twenty trillion, thirteen billion, seven hundred twenty-one million, five hundred sixty-seven thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 41 45 75 123 205 225 281 369 615 843 1025 1405 1845 2529 3075 4215 7025 9225 11521 12645 21075 34563 57605 63225 103689 172815 288025 518445 864075 2592225 7720673 23162019 38603365 69486057 115810095 193016825 316547593 347430285 579050475 949642779 1582737965 1737151425 2169509113 2848928337 4748213895 6508527339 7913689825 10847545565 14244641685 19525582017 23741069475 32542636695 54237727825 71223208425 88949873633 97627910085 162713183475 266849620899 444749368165 488139550425 800548862697 1334248104495 2223746840825 4002744313485 6671240522475 20013721567425