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130766390208 = 26321571446019
BaseRepresentation
bin111100111001001001…
…0001100001111000000
3110111112100000220100100
41321302102030033000
54120302143441313
6140023453322400
712306340656066
oct1716222141700
9414470026310
10130766390208
1150504244473
1221415496400
13c43c8ba66c
1464871a6036
15360529c173
hex1e7248c3c0

130766390208 has 84 divisors (see below), whose sum is σ = 377205885160. Its totient is φ = 43311131136.

The previous prime is 130766390197. The next prime is 130766390219. The reversal of 130766390208 is 802093667031.

130766390208 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 6 + 639 + 0 + 2 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (130766390197) and next prime (130766390219).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 632578 + ... + 813441.

Almost surely, 2130766390208 is an apocalyptic number.

130766390208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130766390208 is an abundant number, since it is smaller than the sum of its proper divisors (246439494952).

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

130766390208 is a wasteful number, since it uses less digits than its factorization.

130766390208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446194 (or 1446181 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 130766390208 in words is "one hundred thirty billion, seven hundred sixty-six million, three hundred ninety thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 157 192 288 314 471 576 628 942 1256 1413 1884 2512 2826 3768 5024 5652 7536 10048 11304 15072 22608 30144 45216 90432 1446019 2892038 4338057 5784076 8676114 11568152 13014171 17352228 23136304 26028342 34704456 46272608 52056684 69408912 92545216 104113368 138817824 208226736 227024983 277635648 416453472 454049966 681074949 832906944 908099932 1362149898 1816199864 2043224847 2724299796 3632399728 4086449694 5448599592 7264799456 8172899388 10897199184 14529598912 16345798776 21794398368 32691597552 43588796736 65383195104 130766390208