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107280004752 = 2432745000033
BaseRepresentation
bin110001111101001100…
…0101111011010010000
3101020220112020220100100
41203322120233122100
53224202140123002
6121141142452400
710515332665104
oct1437230573220
9336815226310
10107280004752
1141551847458
121895ba34100
13a168b3226b
145299c67904
152bcd41311c
hex18fa62f690

107280004752 has 30 divisors (see below), whose sum is σ = 300235013702. Its totient is φ = 35760001536.

The previous prime is 107280004739. The next prime is 107280004763. The reversal of 107280004752 is 257400082701.

107280004752 is a `hidden beast` number, since 107 + 2 + 80 + 0 + 0 + 475 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 93430480896 + 13849523856 = 305664^2 + 117684^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372499873 + ... + 372500160.

Almost surely, 2107280004752 is an apocalyptic number.

107280004752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107280004752 is an abundant number, since it is smaller than the sum of its proper divisors (192955008950).

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

107280004752 is a wasteful number, since it uses less digits than its factorization.

107280004752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745000047 (or 745000038 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 107280004752 in words is "one hundred seven billion, two hundred eighty million, four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 745000033 1490000066 2235000099 2980000132 4470000198 5960000264 6705000297 8940000396 11920000528 13410000594 17880000792 26820001188 35760001584 53640002376 107280004752