Search a number
-
+
56602881249552 = 2432111091619202493
BaseRepresentation
bin11001101111010111000101…
…01000010101000100010000
321102102011221010010111212200
430313223202220111010100
524404340200044441202
6320215001001523200
714631265110124641
oct1467534250250420
9242364833114780
1056602881249552
1117043168916510
1264220264a3500
132577823617561
14dd98461b16c8
1568258689de1c
hex337ae2a15110

56602881249552 has 240 divisors, whose sum is σ = 174504307348800. Its totient is φ = 16984445783040.

The previous prime is 56602881249539. The next prime is 56602881249589. The reversal of 56602881249552 is 25594218820665.

56602881249552 is a `hidden beast` number, since 5 + 6 + 6 + 0 + 2 + 88 + 12 + 495 + 52 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56602881249552.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279428818 + ... + 279631310.

It is an arithmetic number, because the mean of its divisors is an integer number (727101280620).

Almost surely, 256602881249552 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 56602881249552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87252153674400).

56602881249552 is an abundant number, since it is smaller than the sum of its proper divisors (117901426099248).

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

56602881249552 is a wasteful number, since it uses less digits than its factorization.

56602881249552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204246 (or 204237 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 56602881249552 in words is "fifty-six trillion, six hundred two billion, eight hundred eighty-one million, two hundred forty-nine thousand, five hundred fifty-two".