Search a number
-
+
238164354158520 = 23355633525227267
BaseRepresentation
bin110110001001101111110101…
…101110100100111110111000
31011020021021211100001112112010
4312021233311232210332320
5222204041044131033040
62202311105512445520
7101110543501230216
oct6611576556447670
91136237740045463
10238164354158520
1169982a31a99509
1222865a203a98a0
13a2b7a5766154a
1442b5305547cb6
151c80304b4be80
hexd89bf5ba4fb8

238164354158520 has 64 divisors (see below), whose sum is σ = 715762144494720. Its totient is φ = 63397687151744.

The previous prime is 238164354158519. The next prime is 238164354158569. The reversal of 238164354158520 is 25851453461832.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762546074 + ... + 1762681193.

It is an arithmetic number, because the mean of its divisors is an integer number (11183783507730).

Almost surely, 2238164354158520 is an apocalyptic number.

238164354158520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238164354158520 is an abundant number, since it is smaller than the sum of its proper divisors (477597790336200).

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

238164354158520 is a wasteful number, since it uses less digits than its factorization.

238164354158520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525227844 (or 3525227840 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 57.

The spelling of 238164354158520 in words is "two hundred thirty-eight trillion, one hundred sixty-four billion, three hundred fifty-four million, one hundred fifty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 563 1126 1689 2252 2815 3378 4504 5630 6756 8445 11260 13512 16890 22520 33780 67560 3525227267 7050454534 10575681801 14100909068 17626136335 21151363602 28201818136 35252272670 42302727204 52878409005 70504545340 84605454408 105756818010 141009090680 211513636020 423027272040 1984702951321 3969405902642 5954108853963 7938811805284 9923514756605 11908217707926 15877623610568 19847029513210 23816435415852 29770544269815 39694059026420 47632870831704 59541088539630 79388118052840 119082177079260 238164354158520