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126909986944 = 271398377587
BaseRepresentation
bin111011000110001101…
…1001011100010000000
3110010120120112022120211
41312030123023202000
54034402424040234
6134145053243504
712111643042636
oct1661433134200
9403516468524
10126909986944
1149905419634
1220719a93594
13bc76965440
1461dcd51356
15347b93e164
hex1d8c6cb880

126909986944 has 64 divisors (see below), whose sum is σ = 272557333440. Its totient is φ = 58513499136.

The previous prime is 126909986927. The next prime is 126909987047. The reversal of 126909986944 is 449689909621.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1269099869442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126909986944.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596919 + ... + 1674505.

It is an arithmetic number, because the mean of its divisors is an integer number (4258708335).

Almost surely, 2126909986944 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 126909986944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136278666720).

126909986944 is an abundant number, since it is smaller than the sum of its proper divisors (145647346496).

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

126909986944 is an equidigital number, since it uses as much as digits as its factorization.

126909986944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78597 (or 78585 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 67.

The spelling of 126909986944 in words is "one hundred twenty-six billion, nine hundred nine million, nine hundred eighty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 983 1664 1966 3932 7864 12779 15728 25558 31456 51116 62912 77587 102232 125824 155174 204464 310348 408928 620696 817856 1008631 1241392 1635712 2017262 2482784 4034524 4965568 8069048 9931136 16138096 32276192 64552384 76268021 129104768 152536042 305072084 610144168 991484273 1220288336 1982968546 2440576672 3965937092 4881153344 7931874184 9762306688 15863748368 31727496736 63454993472 126909986944