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80135257122 = 2342329672
BaseRepresentation
bin100101010100001101…
…1101111110000100010
321122211202121211220000
41022220123233300202
52303104111211442
6100451424400430
75534553306144
oct1125033576042
9248752554800
1080135257122
1130a92299828
1213645176116
13773117140b
143c42b06c94
1521402d9d4c
hex12a86efc22

80135257122 has 90 divisors (see below), whose sum is σ = 187903146123. Its totient is φ = 25523949528.

The previous prime is 80135257093. The next prime is 80135257127. The reversal of 80135257122 is 22175253108.

80135257122 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 525 + 7 + 122 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40067628561 + 40067628561 = 200169^2 + 200169^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=200169.

It is not an unprimeable number, because it can be changed into a prime (80135257127) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 82869483 + ... + 82870449.

Almost surely, 280135257122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80135257122

80135257122 is an abundant number, since it is smaller than the sum of its proper divisors (107767889001).

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

80135257122 is an frugal number, since it uses more digits than its factorization.

80135257122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 80135257122 in words is "eighty billion, one hundred thirty-five million, two hundred fifty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 529 621 967 1058 1242 1587 1863 1934 2901 3174 3726 4761 5802 8703 9522 14283 17406 22241 26109 28566 42849 44482 52218 66723 78327 85698 133446 156654 200169 400338 511543 600507 935089 1023086 1201014 1534629 1801521 1870178 2805267 3069258 3603042 4603887 5610534 8415801 9207774 13811661 16831602 21507047 25247403 27623322 41434983 43014094 50494806 64521141 75742209 82869966 129042282 151484418 193563423 387126846 494662081 580690269 989324162 1161380538 1483986243 1742070807 2967972486 3484141614 4451958729 8903917458 13355876187 26711752374 40067628561 80135257122