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130463727760 = 2451630796597
BaseRepresentation
bin111100110000000111…
…1101000000010010000
3110110202020112001112001
41321200033220002100
54114142203242020
6135533442243344
712266004250222
oct1714017500220
9413666461461
10130463727760
1150369411713
1221350056554
13c3c1c99a62
146458cdc412
1535d891450a
hex1e603e8090

130463727760 has 20 divisors (see below), whose sum is σ = 303328167228. Its totient is φ = 52185491072.

The previous prime is 130463727731. The next prime is 130463727773. The reversal of 130463727760 is 67727364031.

It can be written as a sum of positive squares in 2 ways, for example, as 67273834384 + 63189893376 = 259372^2 + 251376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1304637277602 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 130463727760.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 815398219 + ... + 815398378.

Almost surely, 2130463727760 is an apocalyptic number.

130463727760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130463727760 is an abundant number, since it is smaller than the sum of its proper divisors (172864439468).

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

130463727760 is a wasteful number, since it uses less digits than its factorization.

130463727760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630796610 (or 1630796604 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 46.

The spelling of 130463727760 in words is "one hundred thirty billion, four hundred sixty-three million, seven hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1630796597 3261593194 6523186388 8153982985 13046372776 16307965970 26092745552 32615931940 65231863880 130463727760