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88082273048 = 23711691206933
BaseRepresentation
bin101001000001000011…
…1001101001100011000
322102100121100002022012
41102002013031030120
52420343030214143
6104244152445052
76235521652610
oct1220207151430
9272317302265
1088082273048
11343a0168490
12150a26a9788
1383c9722ac3
14439833ba40
152457d1b418
hex14821cd318

88082273048 has 64 divisors (see below), whose sum is σ = 206205592320. Its totient is φ = 34267939200.

The previous prime is 88082273021. The next prime is 88082273101. The reversal of 88082273048 is 84037228088.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 88082272987 and 88082273005.

It is a congruent number.

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, 322190 + ... + 529122.

It is an arithmetic number, because the mean of its divisors is an integer number (3221962380).

Almost surely, 288082273048 is an apocalyptic number.

88082273048 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88082273048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103102796160).

88082273048 is an abundant number, since it is smaller than the sum of its proper divisors (118123319272).

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

88082273048 is a wasteful number, since it uses less digits than its factorization.

88082273048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207648 (or 207644 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 50.

The spelling of 88082273048 in words is "eighty-eight billion, eighty-two million, two hundred seventy-three thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 691 1382 2764 4837 5528 7601 9674 15202 19348 30404 38696 53207 60808 106414 206933 212828 413866 425656 827732 1448531 1655464 2276263 2897062 4552526 5794124 9105052 11588248 15933841 18210104 31867682 63735364 127470728 142990703 285981406 571962812 1000934921 1143925624 1572897733 2001869842 3145795466 4003739684 6291590932 8007479368 11010284131 12583181864 22020568262 44041136524 88082273048