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137207004672 = 29389327477
BaseRepresentation
bin111111111001000101…
…1001011111000000000
3111010011012012000102210
41333302023023320000
54221444443122142
6143010530142120
712625055203533
oct1776213137000
9433135160383
10137207004672
1153209860441
1222712421940
13cc2804813a
1468d870ca1a
15388091c49c
hex1ff22cbe00

137207004672 has 40 divisors (see below), whose sum is σ = 365528039976. Its totient is φ = 45735667712.

The previous prime is 137207004619. The next prime is 137207004673. The reversal of 137207004672 is 276400702731.

It is a self number, because there is not a number n which added to its sum of digits gives 137207004672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137207004673) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 44662203 + ... + 44665274.

Almost surely, 2137207004672 is an apocalyptic number.

137207004672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137207004672 is an abundant number, since it is smaller than the sum of its proper divisors (228321035304).

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

137207004672 is an frugal number, since it uses more digits than its factorization.

137207004672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89327498 (or 89327482 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The spelling of 137207004672 in words is "one hundred thirty-seven billion, two hundred seven million, four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 89327477 178654954 267982431 357309908 535964862 714619816 1071929724 1429239632 2143859448 2858479264 4287718896 5716958528 8575437792 11433917056 17150875584 22867834112 34301751168 45735668224 68603502336 137207004672