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12872422152 = 233444572
BaseRepresentation
bin10111111110100000…
…11001001100001000
31020020002201210120000
423333100121030020
5202330320002102
65525152403000
7633663532362
oct137720311410
936202653500
1012872422152
115506168317
1225b2b46460
1312a1b23855
148a1839d32
1550515101c
hex2ff419308

12872422152 has 60 divisors (see below), whose sum is σ = 36062792205. Its totient is φ = 4289844672.

The previous prime is 12872422141. The next prime is 12872422159. The reversal of 12872422152 is 25122427821.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

12872422152 is a `hidden beast` number, since 1 + 2 + 87 + 2 + 422 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12322332036 + 550090116 = 111006^2 + 23454^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=80226.

It is a super-3 number, since 3×128724221523 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12872422159) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2885908 + ... + 2890364.

Almost surely, 212872422152 is an apocalyptic number.

12872422152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12872422152 is an abundant number, since it is smaller than the sum of its proper divisors (23190370053).

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

12872422152 is an frugal number, since it uses more digits than its factorization.

12872422152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8932 (or 4462 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

Adding to 12872422152 its reverse (25122427821), we get a palindrome (37994849973).

The spelling of 12872422152 in words is "twelve billion, eight hundred seventy-two million, four hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 4457 8914 13371 17828 26742 35656 40113 53484 80226 106968 120339 160452 240678 320904 361017 481356 722034 962712 1444068 2888136 19864849 39729698 59594547 79459396 119189094 158918792 178783641 238378188 357567282 476756376 536350923 715134564 1072701846 1430269128 1609052769 2145403692 3218105538 4290807384 6436211076 12872422152