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130664262024 = 23334318797487
BaseRepresentation
bin111100110110000110…
…0100110100110001000
3110111021012212020211000
41321230030212212020
54120100022341044
6140005404335000
712303660621222
oct1715414464610
9414235766730
10130664262024
115046162a00a
12213a7244460
13c4246b029a
1464777bd412
1535eb326d69
hex1e6c326988

130664262024 has 128 divisors (see below), whose sum is σ = 371644416000. Its totient is φ = 42513532992.

The previous prime is 130664262023. The next prime is 130664262041. The reversal of 130664262024 is 420262466031.

130664262024 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 6 + 4 + 2 + 620 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130664262024.

It is not an unprimeable number, because it can be changed into a prime (130664262023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17448409 + ... + 17455895.

It is an arithmetic number, because the mean of its divisors is an integer number (2903472000).

Almost surely, 2130664262024 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 130664262024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185822208000).

130664262024 is an abundant number, since it is smaller than the sum of its proper divisors (240980153976).

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

130664262024 is a wasteful number, since it uses less digits than its factorization.

130664262024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9424 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 130664262024 in words is "one hundred thirty billion, six hundred sixty-four million, two hundred sixty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 108 129 172 216 258 344 387 516 774 1032 1161 1548 1879 2322 3096 3758 4644 5637 7487 7516 9288 11274 14974 15032 16911 22461 22548 29948 33822 44922 45096 50733 59896 67383 67644 80797 89844 101466 134766 135288 161594 179688 202149 202932 242391 269532 321941 323188 404298 405864 484782 539064 643882 646376 727173 808596 965823 969564 1287764 1454346 1617192 1931646 1939128 2181519 2575528 2897469 2908692 3863292 4363038 5794938 5817384 7726584 8692407 8726076 11589876 14068073 17384814 17452152 23179752 28136146 34769628 42204219 56272292 69539256 84408438 112544584 126612657 168816876 253225314 337633752 379837971 506450628 604927139 759675942 1012901256 1209854278 1519351884 1814781417 2419708556 3038703768 3629562834 4839417112 5444344251 7259125668 10888688502 14518251336 16333032753 21777377004 32666065506 43554754008 65332131012 130664262024