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10106737032 = 2337193166271
BaseRepresentation
bin10010110100110100…
…01001000110001000
3222002100121102210210
421122122021012020
5131144311041112
64350514241120
7505311563430
oct113232110610
928070542723
1010106737032
114316a98137
121b608861a0
13c50b4c592
146bc3c92c0
153e2443b3c
hex25a689188

10106737032 has 64 divisors (see below), whose sum is σ = 30396211200. Its totient is φ = 2735657280.

The previous prime is 10106736989. The next prime is 10106737139. The reversal of 10106737032 is 23073760101.

It is a super-2 number, since 2×101067370322 (a number of 21 digits) contains 22 as substring.

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, 1579944 + ... + 1586327.

It is an arithmetic number, because the mean of its divisors is an integer number (474940800).

Almost surely, 210106737032 is an apocalyptic number.

10106737032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10106737032 is an abundant number, since it is smaller than the sum of its proper divisors (20289474168).

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

10106737032 is a wasteful number, since it uses less digits than its factorization.

10106737032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166306 (or 3166302 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 30.

The spelling of 10106737032 in words is "ten billion, one hundred six million, seven hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 3166271 6332542 9498813 12665084 18997626 22163897 25330168 37995252 44327794 60159149 66491691 75990504 88655588 120318298 132983382 177311176 180477447 240636596 265966764 360954894 421114043 481273192 531933528 721909788 842228086 1263342129 1443819576 1684456172 2526684258 3368912344 5053368516 10106737032