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88496164004032 = 26293113111741227
BaseRepresentation
bin10100000111110010011110…
…011010110110000011000000
3102121100011001211100100112001
4110013302132122312003000
543044410120441112112
6512114324305113344
724432431304436441
oct2407623632660300
9377304054310461
1088496164004032
112621a015543274
129b13196328854
133a4c1c9c45835
1417bd346bd52c8
15a36ec5855c57
hex507c9e6b60c0

88496164004032 has 112 divisors (see below), whose sum is σ = 188956748344320. Its totient is φ = 41028540134400.

The previous prime is 88496164003997. The next prime is 88496164004041. The reversal of 88496164004032 is 23040046169488.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1666603 + ... + 13407829.

Almost surely, 288496164004032 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 88496164004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94478374172160).

88496164004032 is an abundant number, since it is smaller than the sum of its proper divisors (100460584340288).

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

88496164004032 is a wasteful number, since it uses less digits than its factorization.

88496164004032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11741430 (or 11741420 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 55.

The spelling of 88496164004032 in words is "eighty-eight trillion, four hundred ninety-six billion, one hundred sixty-four million, four thousand, thirty-two".

Divisors: 1 2 4 8 16 29 31 32 58 62 64 116 124 131 232 248 262 464 496 524 899 928 992 1048 1798 1856 1984 2096 3596 3799 4061 4192 7192 7598 8122 8384 14384 15196 16244 28768 30392 32488 57536 60784 64976 117769 121568 129952 235538 243136 259904 471076 942152 1884304 3768608 7537216 11741227 23482454 46964908 93929816 187859632 340495583 363978037 375719264 680991166 727956074 751438528 1361982332 1455912148 1538100737 2723964664 2911824296 3076201474 5447929328 5823648592 6152402948 10555363073 10895858656 11647297184 12304805896 21110726146 21791717312 23294594368 24609611792 42221452292 44604921373 47681122847 49219223584 84442904584 89209842746 95362245694 98438447168 168885809168 178419685492 190724491388 337771618336 356839370984 381448982776 675543236672 713678741968 762897965552 1382752562563 1427357483936 1525795931104 2765505125126 2854714967872 3051591862208 5531010250252 11062020500504 22124041001008 44248082002016 88496164004032