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2932848053136 = 243610121572
BaseRepresentation
bin101010101011011011010…
…111011100101110010000
3101101101012020000221000000
4222223123113130232100
5341022433100200021
610123155400130000
7421614465061251
oct52533327345620
911341166027000
102932848053136
11a308a52a3131
123b44a4a66900
131837494689c1
14a1d44652b28
15514541b0b26
hex2aadb5dcb90

2932848053136 has 315 divisors, whose sum is σ = 8660038091043. Its totient is φ = 961771449600.

The previous prime is 2932848053039. The next prime is 2932848053137. The reversal of 2932848053136 is 6313508482392.

The square root of 2932848053136 is 1712556.

It is a perfect power (a square), and thus also a powerful number.

2932848053136 is a `hidden beast` number, since 2 + 9 + 3 + 28 + 4 + 80 + 531 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 389001690000 + 2543846363136 = 623700^2 + 1594944^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2932848053137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 18680560770 + ... + 18680560926.

Almost surely, 22932848053136 is an apocalyptic number.

2932848053136 is the 1712556-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2932848053136

2932848053136 is an abundant number, since it is smaller than the sum of its proper divisors (5727190037907).

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

2932848053136 is an frugal number, since it uses more digits than its factorization.

2932848053136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2932848053136 in words is "two trillion, nine hundred thirty-two billion, eight hundred forty-eight million, fifty-three thousand, one hundred thirty-six".