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5290088538240 = 2735511171011801
BaseRepresentation
bin100110011111011000111…
…0110010010000010000000
3200201201122100212201200000
41030332301312102002000
51143133100131210430
615130122204400000
71054124216436522
oct114766166220200
920651570781600
105290088538240
11175a572081950
12715307b46000
132c4b126651ac
14144082411a12
1592919bb0e60
hex4cfb1d92080

5290088538240 has 1536 divisors, whose sum is σ = 22110650714880. Its totient is φ = 1194393600000.

The previous prime is 5290088538239. The next prime is 5290088538277. The reversal of 5290088538240 is 428358800925.

It is a happy number.

5290088538240 is a `hidden beast` number, since 5 + 2 + 9 + 0 + 0 + 88 + 538 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2937305340 + ... + 2937307140.

Almost surely, 25290088538240 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 5290088538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11055325357440).

5290088538240 is an abundant number, since it is smaller than the sum of its proper divisors (16820562176640).

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

5290088538240 is a wasteful number, since it uses less digits than its factorization.

5290088538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 5290088538240 in words is "five trillion, two hundred ninety billion, eighty-eight million, five hundred thirty-eight thousand, two hundred forty".