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235077134964 = 223761113405997
BaseRepresentation
bin1101101011101110110…
…0000110101001110100
3211110202221002202201020
43122323230012221310
512322414221304324
6255554250501140
722661300451420
oct3327354065164
9743687082636
10235077134964
1190771a06941
1239686a347b0
131922450c139
14b540949b80
1561acb8e679
hex36bbb06a74

235077134964 has 96 divisors (see below), whose sum is σ = 642789025536. Its totient is φ = 65479034880.

The previous prime is 235077134951. The next prime is 235077134969. The reversal of 235077134964 is 469431770532.

It is a super-2 number, since 2×2350771349642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235077134969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376014 + ... + 782010.

It is an arithmetic number, because the mean of its divisors is an integer number (6695719016).

Almost surely, 2235077134964 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 235077134964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321394512768).

235077134964 is an abundant number, since it is smaller than the sum of its proper divisors (407711890572).

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

235077134964 is a wasteful number, since it uses less digits than its factorization.

235077134964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406185 (or 406183 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 235077134964 in words is "two hundred thirty-five billion, seventy-seven million, one hundred thirty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 113 122 183 226 244 339 366 427 452 678 732 791 854 1281 1356 1582 1708 2373 2562 3164 4746 5124 6893 9492 13786 20679 27572 41358 48251 82716 96502 144753 193004 289506 405997 579012 811994 1217991 1623988 2435982 2841979 4871964 5683958 8525937 11367916 17051874 24765817 34103748 45877661 49531634 74297451 91755322 99063268 137632983 148594902 173360719 183510644 275265966 297189804 321143627 346721438 520082157 550531932 642287254 693442876 963430881 1040164314 1284574508 1926861762 2080328628 2798537321 3853723524 5597074642 8395611963 11194149284 16791223926 19589761247 33582447852 39179522494 58769283741 78359044988 117538567482 235077134964