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152790380280 = 23325424417723
BaseRepresentation
bin1000111001001100000…
…1000010111011111000
3112121101020001112000100
42032103001002323320
510000403314132110
6154105124035400
714016200542506
oct2162301027370
9477336045010
10152790380280
115988620615a
1225741232b60
131153c6bbc55
1475761cd676
153e93a68bc0
hex2393042ef8

152790380280 has 48 divisors (see below), whose sum is σ = 496568737080. Its totient is φ = 40744101312.

The previous prime is 152790380263. The next prime is 152790380359. The reversal of 152790380280 is 82083097251.

It is a happy number.

152790380280 is a `hidden beast` number, since 1 + 527 + 90 + 38 + 0 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×1527903802802 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 212208502 + ... + 212209221.

Almost surely, 2152790380280 is an apocalyptic number.

152790380280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152790380280 is an abundant number, since it is smaller than the sum of its proper divisors (343778356800).

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

152790380280 is a wasteful number, since it uses less digits than its factorization.

152790380280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424417740 (or 424417733 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 152790380280 in words is "one hundred fifty-two billion, seven hundred ninety million, three hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 424417723 848835446 1273253169 1697670892 2122088615 2546506338 3395341784 3819759507 4244177230 5093012676 6366265845 7639519014 8488354460 10186025352 12732531690 15279038028 16976708920 19098797535 25465063380 30558076056 38197595070 50930126760 76395190140 152790380280