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2640938455232 = 267311173120753
BaseRepresentation
bin100110011011100100001…
…100101101000011000000
3100100110201112121220111222
4212123210030231003000
5321232120221031412
65341121432254212
7361541626325000
oct46334414550300
910313645556458
102640938455232
119290199aa760
123679b8b41368
1316206881318c
1491b71bcc000
1548a6be08072
hex266e432d0c0

2640938455232 has 448 divisors, whose sum is σ = 7287343718400. Its totient is φ = 937127116800.

The previous prime is 2640938455229. The next prime is 2640938455291. The reversal of 2640938455232 is 2325548390462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127245368 + ... + 127266120.

Almost surely, 22640938455232 is an apocalyptic number.

2640938455232 is a gapful number since it is divisible by the number (22) 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 2640938455232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643671859200).

2640938455232 is an abundant number, since it is smaller than the sum of its proper divisors (4646405263168).

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

2640938455232 is a wasteful number, since it uses less digits than its factorization.

2640938455232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20845 (or 20821 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 53.

The spelling of 2640938455232 in words is "two trillion, six hundred forty billion, nine hundred thirty-eight million, four hundred fifty-five thousand, two hundred thirty-two".