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10525164312 = 23313791672557
BaseRepresentation
bin10011100110101100…
…10100001100011000
31000011111221202010110
421303112110030120
5133023420224222
64500222444320
7521552264145
oct116326241430
930144852113
1010525164312
1145111a9803
122058a336a0
13cb97434a0
1471bbc93cc
1541904730c
hex273594318

10525164312 has 128 divisors (see below), whose sum is σ = 28878796800. Its totient is φ = 3177128448.

The previous prime is 10525164301. The next prime is 10525164317. The reversal of 10525164312 is 21346152501.

It is a super-2 number, since 2×105251643122 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10525164312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525164317) 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, 4114938 + ... + 4117494.

It is an arithmetic number, because the mean of its divisors is an integer number (225615600).

Almost surely, 210525164312 is an apocalyptic number.

10525164312 is a gapful number since it is divisible by the number (12) 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 10525164312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14439398400).

10525164312 is an abundant number, since it is smaller than the sum of its proper divisors (18353632488).

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

10525164312 is a wasteful number, since it uses less digits than its factorization.

10525164312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10525164312 in words is "ten billion, five hundred twenty-five million, one hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 79 104 156 158 167 237 312 316 334 474 501 632 668 948 1002 1027 1336 1896 2004 2054 2171 2557 3081 4008 4108 4342 5114 6162 6513 7671 8216 8684 10228 12324 13026 13193 15342 17368 20456 24648 26052 26386 30684 33241 39579 52104 52772 61368 66482 79158 99723 105544 132964 158316 171509 199446 202003 265928 316632 343018 398892 404006 427019 514527 606009 686036 797784 808012 854038 1029054 1212018 1281057 1372072 1616024 1708076 2058108 2424036 2562114 2626039 3416152 4116216 4848072 5124228 5252078 5551247 7878117 10248456 10504156 11102494 15756234 16653741 21008312 22204988 31512468 33307482 33734501 44409976 63024936 66614964 67469002 101203503 133229928 134938004 202407006 269876008 404814012 438548513 809628024 877097026 1315645539 1754194052 2631291078 3508388104 5262582156 10525164312