Search a number
-
+
137394093792 = 2531431188477
BaseRepresentation
bin111111111110101010…
…0110111111011100000
3111010122020020010110110
41333331110313323200
54222340342000132
6143041252131320
712632516346054
oct1777524677340
9433566203413
10137394093792
11532a542524a
1222765006b40
13cc57a31967
1469154cdc64
1538920761cc
hex1ffd537ee0

137394093792 has 24 divisors (see below), whose sum is σ = 360659496456. Its totient is φ = 45798031232.

The previous prime is 137394093763. The next prime is 137394093803. The reversal of 137394093792 is 297390493731.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 715594143 + ... + 715594334.

It is an arithmetic number, because the mean of its divisors is an integer number (15027479019).

Almost surely, 2137394093792 is an apocalyptic number.

137394093792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137394093792 is an abundant number, since it is smaller than the sum of its proper divisors (223265402664).

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

137394093792 is a wasteful number, since it uses less digits than its factorization.

137394093792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431188490 (or 1431188482 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 57.

The spelling of 137394093792 in words is "one hundred thirty-seven billion, three hundred ninety-four million, ninety-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1431188477 2862376954 4293565431 5724753908 8587130862 11449507816 17174261724 22899015632 34348523448 45798031264 68697046896 137394093792