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9992000032 = 257223277063
BaseRepresentation
bin10010100111001000…
…11101001000100000
3221210100201012020021
421103210131020200
5130430423000112
64331255123224
7502416412300
oct112344351040
927710635207
109992000032
114268250573
121b2a373514
13c33149071
146ab07d600
153d732c907
hex25391d220

9992000032 has 72 divisors (see below), whose sum is σ = 23878483776. Its totient is φ = 4096084608.

The previous prime is 9992000017. The next prime is 9992000033. The reversal of 9992000032 is 2300002999.

It is not an unprimeable number, because it can be changed into a prime (9992000033) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 102468 + ... + 174595.

It is an arithmetic number, because the mean of its divisors is an integer number (331645608).

Almost surely, 29992000032 is an apocalyptic number.

9992000032 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

9992000032 is an abundant number, since it is smaller than the sum of its proper divisors (13886483744).

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

9992000032 is a wasteful number, since it uses less digits than its factorization.

9992000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277110 (or 277095 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 34.

The square root of 9992000032 is about 99959.9921568624. The cubic root of 9992000032 is about 2153.8600231415.

The spelling of 9992000032 in words is "nine billion, nine hundred ninety-two million, thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 4508 5152 9016 18032 36064 277063 554126 1108252 1939441 2216504 3878882 4433008 6372449 7757764 8866016 12744898 13576087 15515528 25489796 27152174 31031056 44607143 50979592 54304348 62062112 89214286 101959184 108608696 178428572 203918368 217217392 312250001 356857144 434434784 624500002 713714288 1249000004 1427428576 2498000008 4996000016 9992000032