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137429931384 = 23322382989089
BaseRepresentation
bin111111111111101110…
…1100101010101111000
3111010201201122212101200
41333333131211111320
54222424030301014
6143045012214200
712633433066614
oct1777735452570
9433651585350
10137429931384
1153313682599
122277500a360
13cc6229ba35
14691a17c344
1538952a4a09
hex1fff765578

137429931384 has 48 divisors (see below), whose sum is σ = 388388941200. Its totient is φ = 43818238464.

The previous prime is 137429931343. The next prime is 137429931403. The reversal of 137429931384 is 483139924731.

137429931384 is a `hidden beast` number, since 1 + 37 + 4 + 299 + 313 + 8 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137429931384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41492889 + ... + 41496200.

It is an arithmetic number, because the mean of its divisors is an integer number (8091436275).

Almost surely, 2137429931384 is an apocalyptic number.

It is an amenable number.

137429931384 is an abundant number, since it is smaller than the sum of its proper divisors (250959009816).

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

137429931384 is a wasteful number, since it uses less digits than its factorization.

137429931384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82989124 (or 82989117 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 137429931384 in words is "one hundred thirty-seven billion, four hundred twenty-nine million, nine hundred thirty-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 82989089 165978178 248967267 331956356 497934534 663912712 746901801 995869068 1493803602 1908749047 1991738136 2987607204 3817498094 5726247141 5975214408 7634996188 11452494282 15269992376 17178741423 22904988564 34357482846 45809977128 68714965692 137429931384