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13962131148 = 2237250347207
BaseRepresentation
bin11010000000011010…
…10011011011001100
31100001001012202021110
431000031103123030
5212043301144043
610225240532020
71002665104500
oct150015233314
940031182243
1013962131148
115a15293869
122857a81010
131416810384
1496645a300
1556ab52b33
hex3403536cc

13962131148 has 72 divisors (see below), whose sum is σ = 37973359872. Its totient is φ = 3981165216.

The previous prime is 13962131129. The next prime is 13962131167. The reversal of 13962131148 is 84113126931.

It is an interprime number because it is at equal distance from previous prime (13962131129) and next prime (13962131167).

It is a super-2 number, since 2×139621311482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272161 + ... + 319367.

It is an arithmetic number, because the mean of its divisors is an integer number (527407776).

Almost surely, 213962131148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13962131148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18986679936).

13962131148 is an abundant number, since it is smaller than the sum of its proper divisors (24011228724).

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

13962131148 is a wasteful number, since it uses less digits than its factorization.

13962131148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47731 (or 47722 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The spelling of 13962131148 in words is "thirteen billion, nine hundred sixty-two million, one hundred thirty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 503 588 1006 1509 2012 3018 3521 6036 7042 10563 14084 21126 24647 42252 47207 49294 73941 94414 98588 141621 147882 188828 283242 295764 330449 566484 660898 991347 1321796 1982694 2313143 3965388 4626286 6939429 9252572 13878858 23745121 27757716 47490242 71235363 94980484 142470726 166215847 284941452 332431694 498647541 664863388 997295082 1163510929 1994590164 2327021858 3490532787 4654043716 6981065574 13962131148