Search a number
-
+
54768572651520 = 2113557213109317
BaseRepresentation
bin11000111001111110011010…
…10100010101100000000000
321011220211020222212222200000
430130333031110111200000
524134312014044322040
6312252200202400000
714351620200241500
oct1434771524254000
9234824228788600
1054768572651520
11164a62484a2382
126186624200000
13247386749a390
14d74b55073a00
1564e9c9d3a130
hex31cfcd515800

54768572651520 has 3456 divisors, whose sum is σ = 249648658459200. Its totient is φ = 11413434138624.

The previous prime is 54768572651473. The next prime is 54768572651579. The reversal of 54768572651520 is 2515627586745.

54768572651520 is a `hidden beast` number, since 5 + 4 + 7 + 6 + 8 + 57 + 2 + 6 + 51 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 172771522402 + ... + 172771522718.

Almost surely, 254768572651520 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 54768572651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124824329229600).

54768572651520 is an abundant number, since it is smaller than the sum of its proper divisors (194880085807680).

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

54768572651520 is a wasteful number, since it uses less digits than its factorization.

54768572651520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 141120000, while the sum is 63.

The spelling of 54768572651520 in words is "fifty-four trillion, seven hundred sixty-eight billion, five hundred seventy-two million, six hundred fifty-one thousand, five hundred twenty".