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42155163225 = 3252731863393
BaseRepresentation
bin100111010000101001…
…001011111001011001
311000210212101011122200
4213100221023321121
51142313210210400
631211003240413
73021433655340
oct472051137131
9130725334580
1042155163225
111697254407a
128205819109
133c8a715986
14207c8d6b57
15116ace8b00
hex9d0a4be59

42155163225 has 72 divisors (see below), whose sum is σ = 89074632192. Its totient is φ = 18649267200.

The previous prime is 42155163223. The next prime is 42155163263. The reversal of 42155163225 is 52236155124.

42155163225 is a `hidden beast` number, since 4 + 2 + 15 + 5 + 1 + 632 + 2 + 5 = 666.

42155163225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42155163225 - 21 = 42155163223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42155163225.

It is not an unprimeable number, because it can be changed into a prime (42155163221) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382872 + ... + 480521.

Almost surely, 242155163225 is an apocalyptic number.

42155163225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42155163225 is an abundant number, since it is smaller than the sum of its proper divisors (46919468967).

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

42155163225 is a wasteful number, since it uses less digits than its factorization.

42155163225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863447 (or 863439 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 42155163225 in words is "forty-two billion, one hundred fifty-five million, one hundred sixty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 31 35 45 63 75 93 105 155 175 217 225 279 315 465 525 651 775 1085 1395 1575 1953 2325 3255 5425 6975 9765 16275 48825 863393 2590179 4316965 6043751 7770537 12950895 18131253 21584825 26765183 30218755 38852685 54393759 64754475 80295549 90656265 133825915 151093775 187356281 194263425 240886647 271968795 401477745 453281325 562068843 669129575 936781405 1204433235 1359843975 1686206529 2007388725 2810344215 4683907025 6022166175 8431032645 14051721075 42155163225