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130270764600 = 233252173418339
BaseRepresentation
bin111100101010010111…
…1100001111000111000
3110110020210102111211100
41321110233201320320
54113243303431400
6135502350331400
712261142141344
oct1712457417070
9413223374740
10130270764600
115027a4a5629
12212b74b9b60
13c391007682
14643b42c624
1535c69ea100
hex1e54be1e38

130270764600 has 144 divisors (see below), whose sum is σ = 440022562200. Its totient is φ = 34537985280.

The previous prime is 130270764557. The next prime is 130270764619. The reversal of 130270764600 is 6467072031.

130270764600 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 7 + 0 + 7 + 646 + 0 + 0 = 666.

It is a super-2 number, since 2×1302707646002 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 102231 + ... + 520569.

Almost surely, 2130270764600 is an apocalyptic number.

130270764600 is a gapful number since it is divisible by the number (10) 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 130270764600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220011281100).

130270764600 is an abundant number, since it is smaller than the sum of its proper divisors (309751797600).

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

130270764600 is a wasteful number, since it uses less digits than its factorization.

130270764600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418534 (or 418522 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 130270764600 in words is "one hundred thirty billion, two hundred seventy million, seven hundred sixty-four thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 173 180 200 225 300 346 360 450 519 600 692 865 900 1038 1384 1557 1730 1800 2076 2595 3114 3460 4152 4325 5190 6228 6920 7785 8650 10380 12456 12975 15570 17300 20760 25950 31140 34600 38925 51900 62280 77850 103800 155700 311400 418339 836678 1255017 1673356 2091695 2510034 3346712 3765051 4183390 5020068 6275085 7530102 8366780 10040136 10458475 12550170 15060204 16733560 18825255 20916950 25100340 30120408 31375425 37650510 41833900 50200680 62750850 72372647 75301020 83667800 94126275 125501700 144745294 150602040 188252550 217117941 251003400 289490588 361863235 376505100 434235882 578981176 651353823 723726470 753010200 868471764 1085589705 1302707646 1447452940 1736943528 1809316175 2171179410 2605415292 2894905880 3256769115 3618632350 4342358820 5210830584 5427948525 6513538230 7237264700 8684717640 10855897050 13027076460 14474529400 16283845575 21711794100 26054152920 32567691150 43423588200 65135382300 130270764600