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130772272560 = 24353307164767
BaseRepresentation
bin111100111001010100…
…0101000010110110000
3110111112202002202102020
41321302220220112300
54120310200210220
6140024223351440
712306441655566
oct1716250502660
9414482082366
10130772272560
11505075a1a16
1221417452580
13c440b99c47
146487c97a36
153605a60040
hex1e72a285b0

130772272560 has 80 divisors (see below), whose sum is σ = 405519092736. Its totient is φ = 34861849344.

The previous prime is 130772272541. The next prime is 130772272571. The reversal of 130772272560 is 65272277031.

It is a happy number.

130772272560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711297 + ... + 876063.

Almost surely, 2130772272560 is an apocalyptic number.

130772272560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130772272560 is an abundant number, since it is smaller than the sum of its proper divisors (274746820176).

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

130772272560 is a wasteful number, since it uses less digits than its factorization.

130772272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168090 (or 168084 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The spelling of 130772272560 in words is "one hundred thirty billion, seven hundred seventy-two million, two hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3307 6614 9921 13228 16535 19842 26456 33070 39684 49605 52912 66140 79368 99210 132280 158736 164767 198420 264560 329534 396840 494301 659068 793680 823835 988602 1318136 1647670 1977204 2471505 2636272 3295340 3954408 4943010 6590680 7908816 9886020 13181360 19772040 39544080 544884469 1089768938 1634653407 2179537876 2724422345 3269306814 4359075752 5448844690 6538613628 8173267035 8718151504 10897689380 13077227256 16346534070 21795378760 26154454512 32693068140 43590757520 65386136280 130772272560