Search a number
-
+
130749836976 = 243211433190633
BaseRepresentation
bin111100111000101001…
…1000010111010110000
3110111111011212220120200
41321301103002322300
54120233424240401
6140022102435200
712306050163663
oct1716123027260
9414434786520
10130749836976
11504a5968810
122140ba32b00
13c439343055
146484cd76da
153603acc686
hex1e714c2eb0

130749836976 has 120 divisors (see below), whose sum is σ = 400107214416. Its totient is φ = 39529451520.

The previous prime is 130749836953. The next prime is 130749836993. The reversal of 130749836976 is 679638947031.

130749836976 is a `hidden beast` number, since 13 + 0 + 7 + 498 + 3 + 69 + 76 = 666.

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, 590556 + ... + 781188.

Almost surely, 2130749836976 is an apocalyptic number.

130749836976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130749836976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200053607208).

130749836976 is an abundant number, since it is smaller than the sum of its proper divisors (269357377440).

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

130749836976 is a wasteful number, since it uses less digits than its factorization.

130749836976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191091 (or 191082 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 130749836976 in words is "one hundred thirty billion, seven hundred forty-nine million, eight hundred thirty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 433 528 792 866 1299 1584 1732 2598 3464 3897 4763 5196 6928 7794 9526 10392 14289 15588 19052 20784 28578 31176 38104 42867 57156 62352 76208 85734 114312 171468 190633 228624 342936 381266 571899 685872 762532 1143798 1525064 1715697 2096963 2287596 3050128 3431394 4193926 4575192 6290889 6862788 8387852 9150384 12581778 13725576 16775704 18872667 25163556 27451152 33551408 37745334 50327112 75490668 82544089 100654224 150981336 165088178 247632267 301962672 330176356 495264534 660352712 742896801 907984979 990529068 1320705424 1485793602 1815969958 1981058136 2723954937 2971587204 3631939916 3962116272 5447909874 5943174408 7263879832 8171864811 10895819748 11886348816 14527759664 16343729622 21791639496 32687459244 43583278992 65374918488 130749836976