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80542252911312 = 24321365734095401
BaseRepresentation
bin10010010100000010110100…
…010111111100101011010000
3101120011202122002101000200200
4102110002310113330223100
541024101013221130222
6443144333350215200
722651662052611243
oct2224026427745320
9346152562330620
1080542252911312
1123732861044255
129049765654500
1335c3142a2b45a
1415c63a167725a
1594a14ec22eac
hex4940b45fcad0

80542252911312 has 60 divisors (see below), whose sum is σ = 225408149397444. Its totient is φ = 26847214502400.

The previous prime is 80542252911311. The next prime is 80542252911313. The reversal of 80542252911312 is 21311925224508.

It is a happy number.

80542252911312 is a `hidden beast` number, since 8 + 0 + 5 + 4 + 2 + 2 + 529 + 113 + 1 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (80542252911311) and next prime (80542252911313).

It can be written as a sum of positive squares in 2 ways, for example, as 23997026552976 + 56545226358336 = 4898676^2 + 7519656^2 .

It is a super-2 number, since 2×805422529113122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80542252911311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17618812 + ... + 21714212.

Almost surely, 280542252911312 is an apocalyptic number.

It is an amenable number.

80542252911312 is an abundant number, since it is smaller than the sum of its proper divisors (144865896486132).

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

80542252911312 is a wasteful number, since it uses less digits than its factorization.

80542252911312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4231988 (or 4231979 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 80542252911312 in words is "eighty trillion, five hundred forty-two billion, two hundred fifty-two million, nine hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 136573 273146 409719 546292 819438 1092584 1229157 1638876 2185168 2458314 3277752 4095401 4916628 6555504 8190802 9833256 12286203 16381604 19666512 24572406 32763208 36858609 49144812 65526416 73717218 98289624 147434436 196579248 294868872 589737744 559321200773 1118642401546 1677963602319 2237284803092 3355927204638 4474569606184 5033890806957 6711854409276 8949139212368 10067781613914 13423708818552 20135563227828 26847417637104 40271126455656 80542252911312