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237134043664 = 24717385132341
BaseRepresentation
bin1101110011011001001…
…0100101101000010000
3211200002021112112222221
43130312102211220100
512341122303344124
6300534325310424
723063255053660
oct3346622455020
9750067475887
10237134043664
1191627a92891
1239b5b865414
13194916c038b
14b697bba1a0
15627d543ce4
hex37364a5a10

237134043664 has 80 divisors (see below), whose sum is σ = 556131298176. Its totient is φ = 95622912000.

The previous prime is 237134043631. The next prime is 237134043833. The reversal of 237134043664 is 466340431732.

It is a self number, because there is not a number n which added to its sum of digits gives 237134043664.

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 15 ways as a sum of consecutive naturals, for example, 7316134 + ... + 7348474.

Almost surely, 2237134043664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 237134043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278065649088).

237134043664 is an abundant number, since it is smaller than the sum of its proper divisors (318997254512).

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

237134043664 is a wasteful number, since it uses less digits than its factorization.

237134043664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36224 (or 36218 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 43.

The spelling of 237134043664 in words is "two hundred thirty-seven billion, one hundred thirty-four million, forty-three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 3851 7702 15404 26957 30808 32341 53914 61616 64682 65467 107828 129364 130934 215656 226387 258728 261868 431312 452774 458269 517456 523736 549797 905548 916538 1047472 1099594 1811096 1833076 2199188 3622192 3666152 3848579 4398376 7332304 7697158 8796752 15394316 30788632 61577264 124545191 249090382 498180764 871816337 996361528 1743632674 1992723056 2117268247 3487265348 4234536494 6974530696 8469072988 13949061392 14820877729 16938145976 29641755458 33876291952 59283510916 118567021832 237134043664