Search a number
-
+
2634094056 = 2331131367877
BaseRepresentation
bin1001110100000001…
…0001010111101000
320210120111211202010
42131000101113220
520343312002211
61113213435520
7122163300336
oct23500212750
96716454663
102634094056
111131971940
1261619bba0
1332c94c549
141adb98b56
151063b74a6
hex9d0115e8

2634094056 has 128 divisors (see below), whose sum is σ = 7444316160. Its totient is φ = 769478400.

The previous prime is 2634094049. The next prime is 2634094069. The reversal of 2634094056 is 6504904362.

It is a super-2 number, since 2×26340940562 = 13876902991709062272, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3003090 + ... + 3003966.

It is an arithmetic number, because the mean of its divisors is an integer number (58158720).

Almost surely, 22634094056 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 2634094056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3722158080).

2634094056 is an abundant number, since it is smaller than the sum of its proper divisors (4810222104).

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

2634094056 is a wasteful number, since it uses less digits than its factorization.

2634094056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 2634094056 is about 51323.4259963226. The cubic root of 2634094056 is about 1381.0532559914.

The spelling of 2634094056 in words is "two billion, six hundred thirty-four million, ninety-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 367 372 682 734 744 877 1023 1101 1364 1468 1754 2046 2202 2631 2728 2936 3508 4037 4092 4404 5262 7016 8074 8184 8808 9647 10524 11377 12111 16148 19294 21048 22754 24222 27187 28941 32296 34131 38588 45508 48444 54374 57882 68262 77176 81561 91016 96888 108748 115764 125147 136524 163122 217496 231528 250294 273048 299057 321859 326244 375441 500588 598114 643718 652488 750882 897171 965577 1001176 1196228 1287436 1501764 1794342 1931154 2392456 2574872 3003528 3540449 3588684 3862308 7080898 7177368 7724616 9977629 10621347 14161796 19955258 21242694 28323592 29932887 39910516 42485388 59865774 79821032 84970776 109753919 119731548 219507838 239463096 329261757 439015676 658523514 878031352 1317047028 2634094056