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875096664 = 233135774861
BaseRepresentation
bin110100001010001…
…110101001011000
32020222122111221120
4310022032221120
53243011043124
6222500205240
730454125141
oct6412165130
92228574846
10875096664
11409a73092
12205099820
1310c3b74a0
1484316ac8
1551c5cd79
hex3428ea58

875096664 has 64 divisors (see below), whose sum is σ = 2360598240. Its totient is φ = 268738560.

The previous prime is 875096659. The next prime is 875096681. The reversal of 875096664 is 466690578.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177594 + ... + 182454.

Almost surely, 2875096664 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 875096664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180299120).

875096664 is an abundant number, since it is smaller than the sum of its proper divisors (1485501576).

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

875096664 is a wasteful number, since it uses less digits than its factorization.

875096664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 875096664 is about 29582.0327901921. The cubic root of 875096664 is about 956.5008113426.

The spelling of 875096664 in words is "eight hundred seventy-five million, ninety-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 577 1154 1731 2308 3462 4616 4861 6924 7501 9722 13848 14583 15002 19444 22503 29166 30004 38888 45006 58332 60008 63193 90012 116664 126386 180024 189579 252772 379158 505544 758316 1516632 2804797 5609594 8414391 11219188 16828782 22438376 33657564 36462361 67315128 72924722 109387083 145849444 218774166 291698888 437548332 875096664