Search a number
-
+
881360460864 = 2634132172592
BaseRepresentation
bin11001101001101010010…
…11010101110001000000
310010020221112012101110000
430310311023111301000
5103420011234221424
61512520313240000
7120450635210562
oct14646513256100
93106845171400
10881360460864
1130a8680041a4
12122991a03000
136515bbc8100
143092da7d332
1517dd5e453c9
hexcd352d5c40

881360460864 has 945 divisors, whose sum is σ = 3057063665007. Its totient is φ = 250909581312.

The previous prime is 881360460823. The next prime is 881360460913. The reversal of 881360460864 is 468064063188.

The square root of 881360460864 is 938808.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7958067264 + 873402393600 = 89208^2 + 934560^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 881360460864.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14938312867 + ... + 14938312925.

Almost surely, 2881360460864 is an apocalyptic number.

881360460864 is the 938808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 881360460864

881360460864 is an abundant number, since it is smaller than the sum of its proper divisors (2175703204143).

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

881360460864 is a wasteful number, since it uses less digits than its factorization.

881360460864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 881360460864 in words is "eight hundred eighty-one billion, three hundred sixty million, four hundred sixty thousand, eight hundred sixty-four".