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31348827136 = 2101125032
BaseRepresentation
bin11101001100100010…
…010010010000000000
32222220202100102100201
4131030202102100000
51003200244432021
622222414054544
72156565430324
oct351442222000
988822312321
1031348827136
1112327660900
1260aa7aa454
132c57967673
141735639984
15c37261591
hex74c892400

31348827136 has 99 divisors (see below), whose sum is σ = 69019167763. Its totient is φ = 14221137920.

The previous prime is 31348827121. The next prime is 31348827143. The reversal of 31348827136 is 63172884313.

It is a happy number.

The square root of 31348827136 is 177056.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 62323461 + ... + 62323963.

Almost surely, 231348827136 is an apocalyptic number.

31348827136 is the 177056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31348827136

31348827136 is an abundant number, since it is smaller than the sum of its proper divisors (37670340627).

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

31348827136 is an frugal number, since it uses more digits than its factorization.

31348827136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 516 counting only the distinct ones).

The product of its digits is 580608, while the sum is 46.

The spelling of 31348827136 in words is "thirty-one billion, three hundred forty-eight million, eight hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 503 512 704 968 1006 1024 1408 1936 2012 2816 3872 4024 5533 5632 7744 8048 11066 11264 15488 16096 22132 30976 32192 44264 60863 61952 64384 88528 121726 123904 128768 177056 243452 253009 257536 354112 486904 506018 515072 708224 973808 1012036 1416448 1947616 2024072 2783099 2832896 3895232 4048144 5566198 5665792 7790464 8096288 11132396 15580928 16192576 22264792 30614089 31161856 32385152 44529584 61228178 62323712 64770304 89059168 122456356 129540608 178118336 244912712 259081216 356236672 489825424 712473344 979650848 1424946688 1959301696 2849893376 3918603392 7837206784 15674413568 31348827136