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130552144032 = 25371103185959
BaseRepresentation
bin111100110010110000…
…0111010000010100000
3110110222101220001211210
41321211200322002200
54114332322102112
6135550321310120
712301126625502
oct1714540720240
9413871801753
10130552144032
1150404311112
1221375795340
13c4073b5b8b
146466955d72
1535e157bb3c
hex1e6583a0a0

130552144032 has 96 divisors (see below), whose sum is σ = 350902056960. Its totient is φ = 42487683840.

The previous prime is 130552144027. The next prime is 130552144049. The reversal of 130552144032 is 230441255031.

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

It is a super-2 number, since 2×1305521440322 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609069 + ... + 795027.

It is an arithmetic number, because the mean of its divisors is an integer number (3655229760).

Almost surely, 2130552144032 is an apocalyptic number.

130552144032 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 130552144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175451028480).

130552144032 is an abundant number, since it is smaller than the sum of its proper divisors (220349912928).

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

130552144032 is a wasteful number, since it uses less digits than its factorization.

130552144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186146 (or 186138 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 130552144032 its reverse (230441255031), we get a palindrome (360993399063).

The spelling of 130552144032 in words is "one hundred thirty billion, five hundred fifty-two million, one hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 103 142 206 213 284 309 412 426 568 618 824 852 1136 1236 1648 1704 2272 2472 3296 3408 4944 6816 7313 9888 14626 21939 29252 43878 58504 87756 117008 175512 185959 234016 351024 371918 557877 702048 743836 1115754 1487672 2231508 2975344 4463016 5950688 8926032 13203089 17852064 19153777 26406178 38307554 39609267 52812356 57461331 76615108 79218534 105624712 114922662 153230216 158437068 211249424 229845324 306460432 316874136 422498848 459690648 612920864 633748272 919381296 1267496544 1359918167 1838762592 2719836334 4079754501 5439672668 8159509002 10879345336 16319018004 21758690672 32638036008 43517381344 65276072016 130552144032