Search a number
-
+
137037258972 = 2234422954503
BaseRepresentation
bin111111110100000001…
…1101010000011011100
3111002201100210001010000
41333220003222003130
54221123014241342
6142542024014300
712620624324235
oct1775003520334
9432640701100
10137037258972
1153131a61a39
1222685601390
13cbcbb247b3
1468bdd6408c
153870a8c44c
hex1fe80ea0dc

137037258972 has 30 divisors (see below), whose sum is σ = 358242464888. Its totient is φ = 45679086216.

The previous prime is 137037258949. The next prime is 137037258989. The reversal of 137037258972 is 279852730731.

137037258972 is a `hidden beast` number, since 137 + 0 + 372 + 58 + 97 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 211476928 + ... + 211477575.

Almost surely, 2137037258972 is an apocalyptic number.

137037258972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137037258972 is an abundant number, since it is smaller than the sum of its proper divisors (221205205916).

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

137037258972 is a wasteful number, since it uses less digits than its factorization.

137037258972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422954519 (or 422954508 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 137037258972 in words is "one hundred thirty-seven billion, thirty-seven million, two hundred fifty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 422954503 845909006 1268863509 1691818012 2537727018 3806590527 5075454036 7613181054 11419771581 15226362108 22839543162 34259314743 45679086324 68518629486 137037258972