Search a number
-
+
56444556030 = 23531217311317
BaseRepresentation
bin110100100100010110…
…111001001011111110
312101200201101112112020
4310210112321023332
51411044301243110
641532534421010
74035514544562
oct644426711376
9171621345466
1056444556030
1121a35531415
12ab33201766
135426c7a5a5
142a365c16a2
151705542d70
hexd245b92fe

56444556030 has 96 divisors (see below), whose sum is σ = 140799360672. Its totient is φ = 14480858880.

The previous prime is 56444555987. The next prime is 56444556041. The reversal of 56444556030 is 3065544465.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4981932 + ... + 4993248.

It is an arithmetic number, because the mean of its divisors is an integer number (1466660007).

Almost surely, 256444556030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56444556030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70399680336).

56444556030 is an abundant number, since it is smaller than the sum of its proper divisors (84354804642).

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

56444556030 is a wasteful number, since it uses less digits than its factorization.

56444556030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11562 (or 11531 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 56444556030 in words is "fifty-six billion, four hundred forty-four million, five hundred fifty-six thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 173 186 310 346 465 519 865 930 961 1038 1730 1922 2595 2883 4805 5190 5363 5766 9610 10726 11317 14415 16089 22634 26815 28830 32178 33951 53630 56585 67902 80445 113170 160890 166253 169755 332506 339510 350827 498759 701654 831265 997518 1052481 1662530 1754135 1957841 2104962 2493795 3508270 3915682 4987590 5262405 5873523 9789205 10524810 10875637 11747046 19578410 21751274 29367615 32626911 54378185 58735230 60693071 65253822 108756370 121386142 163134555 182079213 303465355 326269110 364158426 606930710 910396065 1820792130 1881485201 3762970402 5644455603 9407426005 11288911206 18814852010 28222278015 56444556030