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152520313332 = 22314107900973
BaseRepresentation
bin1000111000001011101…
…0110100100111110100
3112120200101212200210210
42032002322310213310
54444330200011312
6154022235345420
714006411162352
oct2160272644764
9476611780723
10152520313332
1159757816932
12256868b2270
13114c877181a
14754c3ac7d2
153e79ebde3c
hex2382eb49f4

152520313332 has 24 divisors (see below), whose sum is σ = 355906353376. Its totient is φ = 50836444128.

The previous prime is 152520313289. The next prime is 152520313339. The reversal of 152520313332 is 233313025251.

It is a happy number.

152520313332 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 152520313332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152520313339) 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 7 ways as a sum of consecutive naturals, for example, 281203 + ... + 619770.

Almost surely, 2152520313332 is an apocalyptic number.

152520313332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152520313332 is an abundant number, since it is smaller than the sum of its proper divisors (203386040044).

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

152520313332 is a wasteful number, since it uses less digits than its factorization.

152520313332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915087 (or 915085 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 152520313332 its reverse (233313025251), we get a palindrome (385833338583).

The spelling of 152520313332 in words is "one hundred fifty-two billion, five hundred twenty million, three hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 14107 28214 42321 56428 84642 169284 900973 1801946 2702919 3603892 5405838 10811676 12710026111 25420052222 38130078333 50840104444 76260156666 152520313332