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130132826264 = 23723677149239
BaseRepresentation
bin111100100110010000…
…1010101100010011000
3110102220011212112000002
41321030201111202120
54113003000420024
6135440542032132
712254545525640
oct1711441254230
9412804775002
10130132826264
1150209651501
1221279278648
13c36b56c85c
146426da3520
1535b984e6ae
hex1e4c855898

130132826264 has 64 divisors (see below), whose sum is σ = 291411993600. Its totient is φ = 53267220864.

The previous prime is 130132826233. The next prime is 130132826269. The reversal of 130132826264 is 462628231031.

It is a super-4 number, since 4×1301328262644 (a number of 46 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132826269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797357 + ... + 946595.

It is an arithmetic number, because the mean of its divisors is an integer number (4553312400).

Almost surely, 2130132826264 is an apocalyptic number.

130132826264 is a gapful number since it is divisible by the number (14) 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 130132826264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145705996800).

130132826264 is an abundant number, since it is smaller than the sum of its proper divisors (161279167336).

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

130132826264 is a wasteful number, since it uses less digits than its factorization.

130132826264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149952 (or 149948 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 130132826264 in words is "one hundred thirty billion, one hundred thirty-two million, eight hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 677 1288 1354 2708 4739 5416 9478 15571 18956 31142 37912 62284 108997 124568 149239 217994 298478 435988 596956 871976 1044673 1193912 2089346 3432497 4178692 6864994 8357384 13729988 24027479 27459976 48054958 96109916 101034803 192219832 202069606 404139212 707243621 808278424 1414487242 2323800469 2828974484 4647600938 5657948968 9295201876 16266603283 18590403752 32533206566 65066413132 130132826264