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126442539159552 = 212327211311311567
BaseRepresentation
bin11100101111111110110010…
…101000011001000000000000
3121120200210021221211011102100
4130233332302220121000000
5113033113310011101202
61124530522305550400
735430112664403600
oct3457766250310000
9546623257734370
10126442539159552
1137319a86007170
12122214b2645400
13557263223a915
142331bcc914c00
15e940d988241c
hex72ffb2a19000

126442539159552 has 1872 divisors, whose sum is σ = 482398943330304. Its totient is φ = 31520047104000.

The previous prime is 126442539159551. The next prime is 126442539159569. The reversal of 126442539159552 is 255951935244621.

126442539159552 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 4 + 2 + 5 + 39 + 1 + 595 + 5 + 2 = 666.

It is a super-2 number, since 2×1264425391595522 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 126442539159552.

It is not an unprimeable number, because it can be changed into a prime (126442539159551) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80690834673 + ... + 80690836239.

It is an arithmetic number, because the mean of its divisors is an integer number (257691743232).

Almost surely, 2126442539159552 is an apocalyptic number.

126442539159552 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 126442539159552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241199471665152).

126442539159552 is an abundant number, since it is smaller than the sum of its proper divisors (355956404170752).

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

126442539159552 is a wasteful number, since it uses less digits than its factorization.

126442539159552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1752 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 63.

The spelling of 126442539159552 in words is "one hundred twenty-six trillion, four hundred forty-two billion, five hundred thirty-nine million, one hundred fifty-nine thousand, five hundred fifty-two".