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106644464360 = 2357254410441
BaseRepresentation
bin110001101010010000…
…0010110001011101000
3101012021020101002211022
41203110200112023220
53221401440324420
6120554120552012
710463514663500
oct1432440261350
9335236332738
10106644464360
1141256024565
1218803022608
13a097271965
1452396aca00
152b92724c25
hex18d48162e8

106644464360 has 48 divisors (see below), whose sum is σ = 279125567460. Its totient is φ = 36563815680.

The previous prime is 106644464321. The next prime is 106644464419. The reversal of 106644464360 is 63464446601.

It can be written as a sum of positive squares in 2 ways, for example, as 104487976516 + 2156487844 = 323246^2 + 46438^2 .

It is a super-2 number, since 2×1066444643602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27203261 + ... + 27207180.

Almost surely, 2106644464360 is an apocalyptic number.

106644464360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106644464360 is an abundant number, since it is smaller than the sum of its proper divisors (172481103100).

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

106644464360 is a wasteful number, since it uses less digits than its factorization.

106644464360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54410466 (or 54410455 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 44.

The spelling of 106644464360 in words is "one hundred six billion, six hundred forty-four million, four hundred sixty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 54410441 108820882 217641764 272052205 380873087 435283528 544104410 761746174 1088208820 1523492348 1904365435 2176417640 2666111609 3046984696 3808730870 5332223218 7617461740 10664446436 13330558045 15234923480 21328892872 26661116090 53322232180 106644464360