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107008400072 = 2371910864287
BaseRepresentation
bin110001110101000110…
…0101001101011001000
3101020012121011221202202
41203222030221223020
53223123122300242
6121054201215332
710505524251530
oct1435214515310
9336177157682
10107008400072
11414224a7882
12188a4a91548
13a124796c32
145271b664c0
152bb4662932
hex18ea329ac8

107008400072 has 16 divisors (see below), whose sum is σ = 229303714560. Its totient is φ = 45860742864.

The previous prime is 107008400071. The next prime is 107008400111. The reversal of 107008400072 is 270004800701.

It is a super-2 number, since 2×1070084000722 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107008400071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 955432088 + ... + 955432199.

It is an arithmetic number, because the mean of its divisors is an integer number (14331482160).

Almost surely, 2107008400072 is an apocalyptic number.

It is an amenable number.

107008400072 is an abundant number, since it is smaller than the sum of its proper divisors (122295314488).

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

107008400072 is a wasteful number, since it uses less digits than its factorization.

107008400072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910864300 (or 1910864296 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 29.

The spelling of 107008400072 in words is "one hundred seven billion, eight million, four hundred thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 56 1910864287 3821728574 7643457148 13376050009 15286914296 26752100018 53504200036 107008400072