Search a number
-
+
53797719108672 = 2634711229647653
BaseRepresentation
bin11000011101101110000011…
…11011111110110001000000
321001111000022112122222220000
430032313001323332301000
524022410212042434142
6310230155253520000
714221520426263260
oct1416670173766100
9231430275588800
1053797719108672
1116161536a2a100
12604a437343000
1324031457b7bb6
14d3db7596d7a0
156346072eb14c
hex30edc1efec40

53797719108672 has 1680 divisors, whose sum is σ = 207876180314880. Its totient is φ = 13450109460480.

The previous prime is 53797719108647. The next prime is 53797719108673. The reversal of 53797719108672 is 27680191779735.

53797719108672 is a `hidden beast` number, since 5 + 379 + 7 + 7 + 191 + 0 + 8 + 67 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 53797719108672.

It is not an unprimeable number, because it can be changed into a prime (53797719108673) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 82385480698 + ... + 82385481350.

It is an arithmetic number, because the mean of its divisors is an integer number (123735821616).

Almost surely, 253797719108672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53797719108672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103938090157440).

53797719108672 is an abundant number, since it is smaller than the sum of its proper divisors (154078461206208).

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

53797719108672 is a wasteful number, since it uses less digits than its factorization.

53797719108672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 280052640, while the sum is 72.

The spelling of 53797719108672 in words is "fifty-three trillion, seven hundred ninety-seven billion, seven hundred nineteen million, one hundred eight thousand, six hundred seventy-two".