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11357273136 = 2431137581351
BaseRepresentation
bin10101001001111001…
…00011110000110000
31002022111201020211210
422210330203300300
5141224430220021
65114545440120
7551305141326
oct124474436060
932274636753
1011357273136
1148a8980450
12224b640040
1310bcc59181
1479a511d16
15467112e76
hex2a4f23c30

11357273136 has 80 divisors (see below), whose sum is σ = 32871967488. Its totient is φ = 3348576000.

The previous prime is 11357273131. The next prime is 11357273159. The reversal of 11357273136 is 63137275311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11357273094 and 11357273103.

It is not an unprimeable number, because it can be changed into a prime (11357273131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271140 + ... + 310211.

Almost surely, 211357273136 is an apocalyptic number.

11357273136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11357273136 is an abundant number, since it is smaller than the sum of its proper divisors (21514694352).

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

11357273136 is a wasteful number, since it uses less digits than its factorization.

11357273136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581410 (or 581404 counting only the distinct ones).

The product of its digits is 79380, while the sum is 39.

The spelling of 11357273136 in words is "eleven billion, three hundred fifty-seven million, two hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 581351 1162702 1744053 2325404 3488106 4650808 6394861 6976212 9301616 12789722 13952424 19184583 21509987 25579444 27904848 38369166 43019974 51158888 64529961 76738332 86039948 102317776 129059922 153476664 172079896 236609857 258119844 306953328 344159792 473219714 516239688 709829571 946439428 1032479376 1419659142 1892878856 2839318284 3785757712 5678636568 11357273136