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130152257718560 = 25571110564306633
BaseRepresentation
bin11101100101111101101111…
…000101101000100100100000
3122001211102201121202210021022
4131211331233011220210200
5114024403310433443220
61140451042145145012
736262122164024540
oct3545755705504440
9561742647683238
10130152257718560
113851a298468790
121272046792b168
1357813c77c468c
14241d58d733320
15100a85b496925
hex765f6f168920

130152257718560 has 96 divisors (see below), whose sum is σ = 383357559134592. Its totient is φ = 40566937466880.

The previous prime is 130152257718499. The next prime is 130152257718583. The reversal of 130152257718560 is 65817752251031.

It is a happy number.

It is a super-2 number, since 2×1301522577185602 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

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, 5282140997 + ... + 5282165636.

It is an arithmetic number, because the mean of its divisors is an integer number (3993307907652).

Almost surely, 2130152257718560 is an apocalyptic number.

130152257718560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130152257718560 is an abundant number, since it is smaller than the sum of its proper divisors (253205301416032).

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

130152257718560 is a wasteful number, since it uses less digits than its factorization.

130152257718560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10564306666 (or 10564306658 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 53.

The spelling of 130152257718560 in words is "one hundred thirty trillion, one hundred fifty-two billion, two hundred fifty-seven million, seven hundred eighteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 2464 3080 6160 12320 10564306633 21128613266 42257226532 52821533165 73950146431 84514453064 105643066330 116207372963 147900292862 169028906128 211286132660 232414745926 295800585724 338057812256 369750732155 422572265320 464829491852 581036864815 591601171448 739501464310 813451610741 845144530640 929658983704 1162073729630 1183202342896 1479002928620 1626903221482 1690289061280 1859317967408 2324147459260 2366404685792 2958005857240 3253806442964 3718635934816 4067258053705 4648294918520 5916011714480 6507612885928 8134516107410 9296589837040 11832023428960 13015225771856 16269032214820 18593179674080 26030451543712 32538064429640 65076128859280 130152257718560