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137393851400 = 23521352843789
BaseRepresentation
bin111111111110101001…
…1111100110000001000
3111010122012202210221222
41333331103330300020
54222340311221100
6143041243021212
712632514316301
oct1777523746010
9433565683858
10137393851400
11532a527a123
1222764b0a808
13cc57978530
1469154697a8
153892029485
hex1ffd4fcc08

137393851400 has 48 divisors (see below), whose sum is σ = 344013072900. Its totient is φ = 50730036480.

The previous prime is 137393851393. The next prime is 137393851417. The reversal of 137393851400 is 4158393731.

It can be written as a sum of positive squares in 6 ways, for example, as 34797917764 + 102595933636 = 186542^2 + 320306^2 .

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, 26419295 + ... + 26424494.

Almost surely, 2137393851400 is an apocalyptic number.

137393851400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137393851400 is an abundant number, since it is smaller than the sum of its proper divisors (206619221500).

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

137393851400 is a wasteful number, since it uses less digits than its factorization.

137393851400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52843818 (or 52843809 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 137393851400 in words is "one hundred thirty-seven billion, three hundred ninety-three million, eight hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 52843789 105687578 211375156 264218945 422750312 528437890 686969257 1056875780 1321094725 1373938514 2113751560 2642189450 2747877028 3434846285 5284378900 5495754056 6869692570 10568757800 13739385140 17174231425 27478770280 34348462850 68696925700 137393851400