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130756438332 = 2232131725396473
BaseRepresentation
bin111100111000110110…
…0001110100100111100
3110111111122022021221100
41321301230032210330
54120242122011312
6140022500133100
712306160246632
oct1716154164474
9414448267840
10130756438332
11504a9667483
1221412097190
13c43a814990
146485b35352
1536044835dc
hex1e71b0e93c

130756438332 has 144 divisors (see below), whose sum is σ = 377092890720. Its totient is φ = 37845356544.

The previous prime is 130756438327. The next prime is 130756438427. The reversal of 130756438332 is 233834657031.

130756438332 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 564 + 3 + 83 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20197048 + ... + 20203520.

It is an arithmetic number, because the mean of its divisors is an integer number (2618700630).

Almost surely, 2130756438332 is an apocalyptic number.

130756438332 is a gapful number since it is divisible by the number (12) 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 130756438332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188546445360).

130756438332 is an abundant number, since it is smaller than the sum of its proper divisors (246336452388).

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

130756438332 is a wasteful number, since it uses less digits than its factorization.

130756438332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9047 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 130756438332 in words is "one hundred thirty billion, seven hundred fifty-six million, four hundred thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 221 234 306 442 468 612 663 884 1326 1989 2539 2652 3978 5078 6473 7617 7956 10156 12946 15234 19419 22851 25892 30468 33007 38838 43163 45702 58257 66014 77676 84149 86326 91404 99021 110041 116514 129489 132028 168298 172652 198042 220082 233028 252447 258978 297063 330123 336596 388467 396084 440164 504894 517956 561119 594126 660246 757341 776934 990369 1009788 1122238 1188252 1320492 1430533 1514682 1553868 1683357 1980738 2244476 2861066 3029364 3366714 3961476 4291599 5050071 5722132 6733428 8583198 10100142 12874797 16434947 17166396 20200284 25749594 32869894 49304841 51499188 65739788 98609682 147914523 197219364 213654311 279394099 295829046 427308622 558788198 591658092 640962933 838182297 854617244 1117576396 1281925866 1676364594 1922888799 2514546891 2563851732 3352729188 3632123287 3845777598 5029093782 7264246574 7691555196 10058187564 10896369861 14528493148 21792739722 32689109583 43585479444 65378219166 130756438332