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107407608361 = 1924723672
BaseRepresentation
bin110010000000111111…
…1100000101000101001
3101021020102100211120221
41210001333200220221
53224432321431421
6121201541450041
710521442415224
oct1440177405051
9337212324527
10107407608361
1141607881989
1218996710921
13a1893bc061
1452acba25bb
152bd971b841
hex1901fe0a29

107407608361 has 27 divisors (see below), whose sum is σ = 116137810269. Its totient is φ = 99318224088.

The previous prime is 107407608337. The next prime is 107407608379. The reversal of 107407608361 is 163806704701.

The square root of 107407608361 is 327731.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 107407608361 - 27 = 107407608233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107407608311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 292663600 + ... + 292663966.

Almost surely, 2107407608361 is an apocalyptic number.

107407608361 is the 327731-st square number.

107407608361 is the 163866-th centered octagonal number.

It is an amenable number.

107407608361 is a deficient number, since it is larger than the sum of its proper divisors (8730201908).

107407608361 is an frugal number, since it uses more digits than its factorization.

107407608361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The spelling of 107407608361 in words is "one hundred seven billion, four hundred seven million, six hundred eight thousand, three hundred sixty-one".

Divisors: 1 19 47 361 367 893 2209 6973 16967 17249 41971 132487 134689 327731 797449 810703 2559091 6226889 6330383 15403357 48622729 120277277 292663783 297528001 2285268263 5653032019 107407608361