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107670073437 = 32291495727581
BaseRepresentation
bin110010001000110100…
…0101111000001011101
3101021220201020102222200
41210101220233001131
53231002014322222
6121243555202113
710531110344433
oct1442150570135
9337821212880
10107670073437
1141731a49873
1218a4a5a6339
13a1cb8a7334
1452d59a4d53
152c027b3eac
hex1911a2f05d

107670073437 has 24 divisors (see below), whose sum is σ = 160902906840. Its totient is φ = 69297728640.

The previous prime is 107670073417. The next prime is 107670073477. The reversal of 107670073437 is 734370076701.

107670073437 is a `hidden beast` number, since 10 + 76 + 70 + 0 + 73 + 437 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38192494041 + 69477579396 = 195429^2 + 263586^2 .

It is not a de Polignac number, because 107670073437 - 215 = 107670040669 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 107670073392 and 107670073401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107670073417) 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 23 ways as a sum of consecutive naturals, for example, 3889987 + ... + 3917567.

It is an arithmetic number, because the mean of its divisors is an integer number (6704287785).

Almost surely, 2107670073437 is an apocalyptic number.

It is an amenable number.

107670073437 is a deficient number, since it is larger than the sum of its proper divisors (53232833403).

107670073437 is a wasteful number, since it uses less digits than its factorization.

107670073437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42573 (or 42570 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The spelling of 107670073437 in words is "one hundred seven billion, six hundred seventy million, seventy-three thousand, four hundred thirty-seven".

Divisors: 1 3 9 29 87 261 14957 27581 44871 82743 134613 248229 433753 799849 1301259 2399547 3903777 7198641 412529017 1237587051 3712761153 11963341493 35890024479 107670073437