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130433880528 = 24337163264619
BaseRepresentation
bin111100101111001110…
…1110001000111010000
3110110200011100122211000
41321132131301013100
54114112033134103
6135530454422000
712265162456110
oct1713635610720
9413604318730
10130433880528
1150353585a86
1221342061900
13c3b8a49483
146454d6d040
1535d5ebaaa3
hex1e5e7711d0

130433880528 has 160 divisors (see below), whose sum is σ = 430504985600. Its totient is φ = 37038052224.

The previous prime is 130433880497. The next prime is 130433880559. The reversal of 130433880528 is 825088334031.

130433880528 is a `hidden beast` number, since 1 + 3 + 0 + 43 + 3 + 8 + 80 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (130433880497) and next prime (130433880559).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 360603 + ... + 625221.

It is an arithmetic number, because the mean of its divisors is an integer number (2690656160).

Almost surely, 2130433880528 is an apocalyptic number.

130433880528 is a gapful number since it is divisible by the number (18) 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 130433880528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215252492800).

130433880528 is an abundant number, since it is smaller than the sum of its proper divisors (300071105072).

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

130433880528 is a wasteful number, since it uses less digits than its factorization.

130433880528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264806 (or 264794 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 130433880528 in words is "one hundred thirty billion, four hundred thirty-three million, eight hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 163 168 189 216 252 326 336 378 432 489 504 652 756 978 1008 1141 1304 1467 1512 1956 2282 2608 2934 3024 3423 3912 4401 4564 5868 6846 7824 8802 9128 10269 11736 13692 17604 18256 20538 23472 27384 30807 35208 41076 54768 61614 70416 82152 123228 164304 246456 264619 492912 529238 793857 1058476 1587714 1852333 2116952 2381571 3175428 3704666 4233904 4763142 5556999 6350856 7144713 7409332 9526284 11113998 12701712 14289426 14818664 16670997 19052568 22227996 28578852 29637328 33341994 38105136 43132897 44455992 50012991 57157704 66683988 86265794 88911984 100025982 114315408 129398691 133367976 172531588 200051964 258797382 266735952 301930279 345063176 388196073 400103928 517594764 603860558 690126352 776392146 800207856 905790837 1035189528 1164588219 1207721116 1552784292 1811581674 2070379056 2329176438 2415442232 2717372511 3105568584 3623163348 4658352876 4830884464 5434745022 6211137168 7246326696 8152117533 9316705752 10869490044 14492653392 16304235066 18633411504 21738980088 32608470132 43477960176 65216940264 130433880528