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88742000116 = 22711752338299
BaseRepresentation
bin101001010100101101…
…1110111010111110100
322111001120201200201001
41102221123313113310
52423220423000431
6104433441013044
76261052361260
oct1225133672764
9274046650631
1088742000116
11346a9600170
1215247624184
1384a3301353
14441bbd10a0
152495bd5e61
hex14a96f75f4

88742000116 has 48 divisors (see below), whose sum is σ = 193649702400. Its totient is φ = 34569306720.

The previous prime is 88742000111. The next prime is 88742000117. The reversal of 88742000116 is 61100024788.

88742000116 is a nontrivial binomial coefficient, being equal to C(421289, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88742000111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2297935 + ... + 2336233.

It is an arithmetic number, because the mean of its divisors is an integer number (4034368800).

Almost surely, 288742000116 is an apocalyptic number.

88742000116 is the 421288-th triangular number.

88742000116 is the 140430-th centered nonagonal number.

It is an amenable number.

88742000116 is an abundant number, since it is smaller than the sum of its proper divisors (104907702284).

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

88742000116 is a wasteful number, since it uses less digits than its factorization.

88742000116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45844 (or 45842 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 88742000116 in words is "eighty-eight billion, seven hundred forty-two million, one hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 7523 15046 30092 38299 52661 76598 82753 105322 153196 165506 210644 268093 331012 421289 536186 579271 842578 1072372 1158542 1685156 2317084 2949023 5898046 11796092 288123377 576246754 1152493508 2016863639 3169357147 4033727278 6338714294 8067454556 12677428588 22185500029 44371000058 88742000116