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152017285338 = 232311638116631
BaseRepresentation
bin1000110110010011101…
…1111011000011011010
3112112101100100020010100
42031210323323003122
54442312411112323
6153500310000230
713661062414422
oct2154473730332
9475340306110
10152017285338
1159519881516
1225566346076
1311448499419
147501669482
153e4ac58943
hex2364efb0da

152017285338 has 48 divisors (see below), whose sum is σ = 340036849152. Its totient is φ = 49031892000.

The previous prime is 152017285327. The next prime is 152017285363. The reversal of 152017285338 is 833582710251.

152017285338 is a `hidden beast` number, since 1 + 5 + 20 + 17 + 285 + 338 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 152017285293 and 152017285302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9132283 + ... + 9148913.

It is an arithmetic number, because the mean of its divisors is an integer number (7084101024).

Almost surely, 2152017285338 is an apocalyptic number.

152017285338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

152017285338 is an abundant number, since it is smaller than the sum of its proper divisors (188019563814).

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

152017285338 is a wasteful number, since it uses less digits than its factorization.

152017285338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33051 (or 33048 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

Adding to 152017285338 its reverse (833582710251), we get a palindrome (985599995589).

The spelling of 152017285338 in words is "one hundred fifty-two billion, seventeen million, two hundred eighty-five thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 186 279 558 16381 16631 32762 33262 49143 49893 98286 99786 147429 149679 294858 299358 507811 515561 1015622 1031122 1523433 1546683 3046866 3093366 4570299 4640049 9140598 9280098 272432411 544864822 817297233 1634594466 2451891699 4903783398 8445404741 16890809482 25336214223 50672428446 76008642669 152017285338