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90387010152 = 23323733365617
BaseRepresentation
bin101010000101101111…
…1000101001001101000
322122022020002212020200
41110023133011021220
52440103033311102
6105305003152200
76346605624015
oct1241337051150
9278266085220
1090387010152
113537312459a
1215626515660
1386a606617a
14453648070c
15254032651c
hex150b7c5268

90387010152 has 48 divisors (see below), whose sum is σ = 245454520740. Its totient is φ = 30048219648.

The previous prime is 90387010141. The next prime is 90387010171. The reversal of 90387010152 is 25101078309.

It can be written as a sum of positive squares in 2 ways, for example, as 90248571396 + 138438756 = 300414^2 + 11766^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1655953 + ... + 1709664.

Almost surely, 290387010152 is an apocalyptic number.

It is an amenable number.

90387010152 is an abundant number, since it is smaller than the sum of its proper divisors (155067510588).

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

90387010152 is a wasteful number, since it uses less digits than its factorization.

90387010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366002 (or 3365995 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 90387010152 in words is "ninety billion, three hundred eighty-seven million, ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 373 746 1119 1492 2238 2984 3357 4476 6714 8952 13428 26856 3365617 6731234 10096851 13462468 20193702 26924936 30290553 40387404 60581106 80774808 121162212 242324424 1255375141 2510750282 3766125423 5021500564 7532250846 10043001128 11298376269 15064501692 22596752538 30129003384 45193505076 90387010152