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31376138332 = 22711177975853
BaseRepresentation
bin11101001110001010…
…011110000001011100
32222222122201222021111
4131032022132001130
51003224242411312
622225231311404
72160346526650
oct351612360134
988878658244
1031376138332
1112341015140
1260b797b564
132c6050a836
141739108a60
15c398588a7
hex74e29e05c

31376138332 has 96 divisors (see below), whose sum is σ = 73402398720. Its totient is φ = 11359595520.

The previous prime is 31376138309. The next prime is 31376138341. The reversal of 31376138332 is 23383167313.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375718 + ... + 451570.

It is an arithmetic number, because the mean of its divisors is an integer number (764608320).

Almost surely, 231376138332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31376138332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36701199360).

31376138332 is an abundant number, since it is smaller than the sum of its proper divisors (42026260388).

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

31376138332 is a wasteful number, since it uses less digits than its factorization.

31376138332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75971 (or 75969 counting only the distinct ones).

The product of its digits is 163296, while the sum is 40.

The spelling of 31376138332 in words is "thirty-one billion, three hundred seventy-six million, one hundred thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 79 119 154 158 187 238 308 316 374 476 553 748 869 1106 1309 1343 1738 2212 2618 2686 3476 5236 5372 6083 9401 12166 14773 18802 24332 29546 37604 59092 75853 103411 151706 206822 303412 413644 530971 834383 1061942 1289501 1668766 2123884 2579002 3337532 5158004 5840681 5992387 9026507 11681362 11984774 14184511 18053014 23362724 23969548 28369022 36106028 41946709 56738044 65916257 83893418 99291577 101870579 131832514 167786836 198583154 203741158 263665028 397166308 407482316 461413799 713094053 922827598 1120576369 1426188106 1845655196 2241152738 2852376212 4482305476 7844034583 15688069166 31376138332