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126068376788640 = 253551113217374759
BaseRepresentation
bin11100101010100010010100…
…110100001101111010100000
3121112101000111221022100100000
4130222202110310031322200
5113011001013424214030
61124043002431500000
735361065620622346
oct3452422464157240
9545330457270300
10126068376788640
1137195331112a40
1212180a90387600
135546273832300
14231ba5605b996
15e894db467860
hex72a894d0dea0

126068376788640 has 6912 divisors, whose sum is σ = 595215330877440. Its totient is φ = 24855808573440.

The previous prime is 126068376788639. The next prime is 126068376788671. The reversal of 126068376788640 is 46887673860621.

It is a happy number.

126068376788640 is a `hidden beast` number, since 1 + 2 + 60 + 68 + 376 + 7 + 88 + 64 + 0 = 666.

It is a super-2 number, since 2×1260683767886402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 2136752148931 + ... + 2136752148989.

It is an arithmetic number, because the mean of its divisors is an integer number (86113329120).

Almost surely, 2126068376788640 is an apocalyptic number.

126068376788640 is a gapful number since it is divisible by the number (10) 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 126068376788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297607665438720).

126068376788640 is an abundant number, since it is smaller than the sum of its proper divisors (469146954088800).

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

126068376788640 is a wasteful number, since it uses less digits than its factorization.

126068376788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 126068376788640 in words is "one hundred twenty-six trillion, sixty-eight billion, three hundred seventy-six million, seven hundred eighty-eight thousand, six hundred forty".