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13162866972 = 2232331249627
BaseRepresentation
bin11000100001001000…
…10110100100011100
31020222100020220221120
430100210112210130
5203424143220342
610014045530540
7644121344313
oct142044264434
936870226846
1013162866972
115645105862
122674273a50
13131a0573a8
148cc24327a
155208c3aec
hex31091691c

13162866972 has 72 divisors (see below), whose sum is σ = 33116565888. Its totient is φ = 4061391840.

The previous prime is 13162866943. The next prime is 13162866973. The reversal of 13162866972 is 27966826131.

It is a super-2 number, since 2×131628669722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13162866973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240423 + ... + 290049.

It is an arithmetic number, because the mean of its divisors is an integer number (459952304).

Almost surely, 213162866972 is an apocalyptic number.

13162866972 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 13162866972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16558282944).

13162866972 is an abundant number, since it is smaller than the sum of its proper divisors (19953698916).

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

13162866972 is a wasteful number, since it uses less digits than its factorization.

13162866972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49719 (or 49686 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The spelling of 13162866972 in words is "thirteen billion, one hundred sixty-two million, eight hundred sixty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 124 138 186 276 372 713 961 1426 1922 2139 2852 2883 3844 4278 5766 8556 11532 22103 44206 49627 66309 88412 99254 132618 148881 198508 265236 297762 595524 1141421 1538437 2282842 3076874 3424263 4565684 4615311 6153748 6848526 9230622 13697052 18461244 35384051 47691547 70768102 95383094 106152153 141536204 143074641 190766188 212304306 286149282 424608612 572298564 1096905581 2193811162 3290716743 4387622324 6581433486 13162866972