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152273727090 = 23352324520729
BaseRepresentation
bin1000110111010000111…
…0001010111001110010
3112120001012212211002000
42031310032022321302
54443324033231330
6153541550234430
714000325216132
oct2156416127162
9476035784060
10152273727090
1159640604a51
12256181b5a16
1311489655bc4
147527740ac2
153e63511560
hex237438ae72

152273727090 has 64 divisors (see below), whose sum is σ = 423718214400. Its totient is φ = 38840833152.

The previous prime is 152273727061. The next prime is 152273727097. The reversal of 152273727090 is 90727372251.

152273727090 is a `hidden beast` number, since 1 + 522 + 7 + 37 + 2 + 7 + 0 + 90 = 666.

152273727090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (152273727097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12254155 + ... + 12266574.

It is an arithmetic number, because the mean of its divisors is an integer number (6620597100).

Almost surely, 2152273727090 is an apocalyptic number.

152273727090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152273727090 is an abundant number, since it is smaller than the sum of its proper divisors (271444487310).

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

152273727090 is a wasteful number, since it uses less digits than its factorization.

152273727090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24520768 (or 24520762 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 152273727090 in words is "one hundred fifty-two billion, two hundred seventy-three million, seven hundred twenty-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 90 115 135 138 207 230 270 345 414 621 690 1035 1242 2070 3105 6210 24520729 49041458 73562187 122603645 147124374 220686561 245207290 367810935 441373122 563976767 662059683 735621870 1103432805 1127953534 1324119366 1691930301 2206865610 2819883835 3310298415 3383860602 5075790903 5639767670 6620596830 8459651505 10151581806 15227372709 16919303010 25378954515 30454745418 50757909030 76136863545 152273727090