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152430390252 = 22327604882501
BaseRepresentation
bin1000110111110110001…
…1110010101111101100
3112120110010200010112100
42031331203302233230
54444134134442002
6154005304135100
714004236640060
oct2157543625754
9476403603470
10152430390252
1159710a88338
1225660767490
13114b2c488ba
147540481aa0
153e7215a11c
hex237d8f2bec

152430390252 has 36 divisors (see below), whose sum is σ = 440354461456. Its totient is φ = 43551540000.

The previous prime is 152430390239. The next prime is 152430390257. The reversal of 152430390252 is 252093034251.

152430390252 is a `hidden beast` number, since 1 + 5 + 243 + 0 + 390 + 25 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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 (152430390257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 302440999 + ... + 302441502.

Almost surely, 2152430390252 is an apocalyptic number.

152430390252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152430390252 is an abundant number, since it is smaller than the sum of its proper divisors (287924071204).

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

152430390252 is a wasteful number, since it uses less digits than its factorization.

152430390252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604882518 (or 604882513 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 152430390252 in words is "one hundred fifty-two billion, four hundred thirty million, three hundred ninety thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 604882501 1209765002 1814647503 2419530004 3629295006 4234177507 5443942509 7258590012 8468355014 10887885018 12702532521 16936710028 21775770036 25405065042 38107597563 50810130084 76215195126 152430390252