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106368942528 = 263361556101
BaseRepresentation
bin110001100010000010…
…1010100000111000000
3101011120000221010221000
41203010011110013000
53220320422130103
6120510515332000
710453631044032
oct1430405240700
9334500833830
10106368942528
1141124549972
12187468b1000
13a0521646a4
145210c6bc52
152b7844daa3
hex18c41541c0

106368942528 has 56 divisors (see below), whose sum is σ = 312704998160. Its totient is φ = 35456313600.

The previous prime is 106368942527. The next prime is 106368942529. The reversal of 106368942528 is 825249863601.

106368942528 is a `hidden beast` number, since 1 + 0 + 6 + 36 + 89 + 4 + 2 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (106368942527) and next prime (106368942529).

It is a super-2 number, since 2×1063689425282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106368942527) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30776323 + ... + 30779778.

Almost surely, 2106368942528 is an apocalyptic number.

106368942528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106368942528 is an abundant number, since it is smaller than the sum of its proper divisors (206336055632).

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

106368942528 is an equidigital number, since it uses as much as digits as its factorization.

106368942528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61556122 (or 61556106 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 106368942528 in words is "one hundred six billion, three hundred sixty-eight million, nine hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 61556101 123112202 184668303 246224404 369336606 492448808 554004909 738673212 984897616 1108009818 1477346424 1662014727 1969795232 2216019636 2954692848 3324029454 3939590464 4432039272 5909385696 6648058908 8864078544 11818771392 13296117816 17728157088 26592235632 35456314176 53184471264 106368942528