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130549612512 = 25311521237287
BaseRepresentation
bin111100110010101011…
…1001111111111100000
3110110222020010110020210
41321211113033333200
54114331200100022
6135550151134120
712301066253124
oct1714527177740
9413866113223
10130549612512
1150402942150
1221374974340
13c406a0a837
146466497584
1535e122ba0c
hex1e655cffe0

130549612512 has 96 divisors (see below), whose sum is σ = 374565752064. Its totient is φ = 39484390400.

The previous prime is 130549612511. The next prime is 130549612537. The reversal of 130549612512 is 215216945031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130549612511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431533 + ... + 668819.

It is an arithmetic number, because the mean of its divisors is an integer number (3901726584).

Almost surely, 2130549612512 is an apocalyptic number.

130549612512 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 130549612512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187282876032).

130549612512 is an abundant number, since it is smaller than the sum of its proper divisors (244016139552).

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

130549612512 is a wasteful number, since it uses less digits than its factorization.

130549612512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237832 (or 237824 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 130549612512 in words is "one hundred thirty billion, five hundred forty-nine million, six hundred twelve thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 521 528 1042 1056 1563 2084 3126 4168 5731 6252 8336 11462 12504 16672 17193 22924 25008 34386 45848 50016 68772 91696 137544 183392 237287 275088 474574 550176 711861 949148 1423722 1898296 2610157 2847444 3796592 5220314 5694888 7593184 7830471 10440628 11389776 15660942 20881256 22779552 31321884 41762512 62643768 83525024 123626527 125287536 247253054 250575072 370879581 494506108 741759162 989012216 1359891797 1483518324 1978024432 2719783594 2967036648 3956048864 4079675391 5439567188 5934073296 8159350782 10879134376 11868146592 16318701564 21758268752 32637403128 43516537504 65274806256 130549612512