Search a number
-
+
90147538242954 = 2331938649735007
BaseRepresentation
bin10100011111110100011011…
…111111101000110110001010
3102211012000112221022120112000
4110133310123333220312022
543303434124242233304
6515421112442131430
724662642015036643
oct2437643377506612
9384160487276460
1090147538242954
11267a63a1218855
12a13b2441b0b76
133b3bb5153a5ca
14183924253a6ca
15a64e27286939
hex51fd1bfe8d8a

90147538242954 has 32 divisors (see below), whose sum is σ = 201365830986240. Its totient is φ = 29893484180736.

The previous prime is 90147538242919. The next prime is 90147538243039. The reversal of 90147538242954 is 45924283574109.

It is a happy number.

90147538242954 is a `hidden beast` number, since 9 + 0 + 1 + 4 + 7 + 538 + 2 + 4 + 2 + 95 + 4 = 666.

90147538242954 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×901475382429542 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 90147538242891 and 90147538242900.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4324857082 + ... + 4324877925.

It is an arithmetic number, because the mean of its divisors is an integer number (6292682218320).

Almost surely, 290147538242954 is an apocalyptic number.

90147538242954 is an abundant number, since it is smaller than the sum of its proper divisors (111218292743286).

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

90147538242954 is a wasteful number, since it uses less digits than its factorization.

90147538242954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8649735211 (or 8649735205 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 90147538242954 in words is "ninety trillion, one hundred forty-seven billion, five hundred thirty-eight million, two hundred forty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 193 386 579 1158 1737 3474 5211 10422 8649735007 17299470014 25949205021 51898410042 77847615063 155695230126 233542845189 467085690378 1669398856351 3338797712702 5008196569053 10016393138106 15024589707159 30049179414318 45073769121477 90147538242954