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100741264416324 = 2232717109442148799
BaseRepresentation
bin10110111001111110100111…
…010001111001111001000100
3111012200202210221002110122100
4112321332213101321321010
5101201021102142310244
6554131521543432100
730135213305544450
oct2671764721717104
9435622727073570
10100741264416324
112a110148497584
12b3703b9755630
134429b255c1a7c
141ac3c905c1660
15b9a7a1370b69
hex5b9fa7479e44

100741264416324 has 288 divisors, whose sum is σ = 311053526784000. Its totient is φ = 26834933698560.

The previous prime is 100741264416323. The next prime is 100741264416361. The reversal of 100741264416324 is 423614462147001.

100741264416324 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 4 + 1 + 2 + 6 + 4 + 4 + 1 + 632 + 4 = 666.

100741264416324 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100741264416324.

It is not an unprimeable number, because it can be changed into a prime (100741264416323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2064388077 + ... + 2064436875.

It is an arithmetic number, because the mean of its divisors is an integer number (1080046968000).

Almost surely, 2100741264416324 is an apocalyptic number.

100741264416324 is a gapful number since it is divisible by the number (14) 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 100741264416324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155526763392000).

100741264416324 is an abundant number, since it is smaller than the sum of its proper divisors (210312262367676).

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

100741264416324 is a wasteful number, since it uses less digits than its factorization.

100741264416324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53363 (or 53358 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 100741264416324 in words is "one hundred trillion, seven hundred forty-one billion, two hundred sixty-four million, four hundred sixteen thousand, three hundred twenty-four".