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2554432344552 = 23311219101458377
BaseRepresentation
bin100101001011000000000…
…010000101000111101000
3100001012102210010011111210
4211023000002011013220
5313322434140011202
65233253502153120
7352360133450454
oct45130002050750
910035383104453
102554432344552
118a5368512400
123530962827a0
13156b607cb03a
148b8c6d3b664
15466a767cc6c
hex252c00851e8

2554432344552 has 192 divisors, whose sum is σ = 7462027137600. Its totient is φ = 726067584000.

The previous prime is 2554432344547. The next prime is 2554432344577.

2554432344552 is nontrivially palindromic in base 10.

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, 5343588 + ... + 5801964.

It is an arithmetic number, because the mean of its divisors is an integer number (38864724675).

Almost surely, 22554432344552 is an apocalyptic number.

2554432344552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554432344552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3731013568800).

2554432344552 is an abundant number, since it is smaller than the sum of its proper divisors (4907594793048).

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

2554432344552 is a wasteful number, since it uses less digits than its factorization.

2554432344552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458528 (or 458513 counting only the distinct ones).

The product of its digits is 11520000, while the sum is 48.

The spelling of 2554432344552 in words is "two trillion, five hundred fifty-four billion, four hundred thirty-two million, three hundred forty-four thousand, five hundred fifty-two".