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130205985024 = 283653259631
BaseRepresentation
bin111100101000011100…
…0011010100100000000
3110110002021112100221210
41321100320122210000
54113130213010044
6135452114050120
712256424416533
oct1712070324400
9413067470853
10130205985024
115024697a795
1221299879940
13c38077606b
1464329a8a1a
1535c0ea11b9
hex1e50e1a900

130205985024 has 72 divisors (see below), whose sum is σ = 347069826432. Its totient is φ = 43335362560.

The previous prime is 130205985017. The next prime is 130205985067. The reversal of 130205985024 is 420589502031.

It is a super-2 number, since 2×1302059850242 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 371689 + ... + 631319.

It is an arithmetic number, because the mean of its divisors is an integer number (4820414256).

Almost surely, 2130205985024 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 130205985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173534913216).

130205985024 is an abundant number, since it is smaller than the sum of its proper divisors (216863841408).

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

130205985024 is an equidigital number, since it uses as much as digits as its factorization.

130205985024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260303 (or 260289 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 130205985024 in words is "one hundred thirty billion, two hundred five million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 653 768 1306 1959 2612 3918 5224 7836 10448 15672 20896 31344 41792 62688 83584 125376 167168 250752 259631 501504 519262 778893 1038524 1557786 2077048 3115572 4154096 6231144 8308192 12462288 16616384 24924576 33232768 49849152 66465536 99698304 169539043 199396608 339078086 508617129 678156172 1017234258 1356312344 2034468516 2712624688 4068937032 5425249376 8137874064 10850498752 16275748128 21700997504 32551496256 43401995008 65102992512 130205985024