Search a number
-
+
31093711264 = 2572113158153
BaseRepresentation
bin11100111101010101…
…000110000110100000
32222020222022012011201
4130331111012012200
51002134442230024
622141222050544
72150350120300
oct347525060640
988228265151
1031093711264
1112206653540
126039279a54
132c16b53525
14170d7cb600
15c1eb6b744
hex73d5461a0

31093711264 has 144 divisors (see below), whose sum is σ = 80191109376. Its totient is φ = 11723443200.

The previous prime is 31093711249. The next prime is 31093711279. The reversal of 31093711264 is 46211739013.

It is an interprime number because it is at equal distance from previous prime (31093711249) and next prime (31093711279).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505612 + ... + 563764.

It is an arithmetic number, because the mean of its divisors is an integer number (556882704).

Almost surely, 231093711264 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 31093711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40095554688).

31093711264 is an abundant number, since it is smaller than the sum of its proper divisors (49097398112).

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

31093711264 is a wasteful number, since it uses less digits than its factorization.

31093711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58219 (or 58204 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The spelling of 31093711264 in words is "thirty-one billion, ninety-three million, seven hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 62 77 88 98 112 124 154 176 196 217 224 248 308 341 352 392 434 496 539 616 682 784 868 992 1078 1232 1364 1519 1568 1736 2156 2387 2464 2728 3038 3472 4312 4774 5456 6076 6944 8624 9548 10912 12152 16709 17248 19096 24304 33418 38192 48608 58153 66836 76384 116306 133672 232612 267344 407071 465224 534688 639683 814142 930448 1279366 1628284 1802743 1860896 2558732 2849497 3256568 3605486 4477781 5117464 5698994 6513136 7210972 8955562 10234928 11397988 12619201 13026272 14421944 17911124 19830173 20469856 22795976 25238402 28843888 31344467 35822248 39660346 45591952 50476804 57687776 62688934 71644496 79320692 88334407 91183904 100953608 125377868 138811211 143288992 158641384 176668814 201907216 250755736 277622422 317282768 353337628 403814432 501511472 555244844 634565536 706675256 971678477 1003022944 1110489688 1413350512 1943356954 2220979376 2826701024 3886713908 4441958752 7773427816 15546855632 31093711264