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5185942692840 = 2332572131737157229
BaseRepresentation
bin100101101110111001001…
…0001011010001111101000
3200100202211021002121200200
41023131302101122033220
51134431302312132330
615010220021432200
71043446331400300
oct113356221321750
920322737077620
105185942692840
11171a3894a8838
126b90a186b660
132b8055c5b1c0
1413d002914600
158ed719e2a60
hex4b77245a3e8

5185942692840 has 2304 divisors, whose sum is σ = 23207575809600. Its totient is φ = 991251136512.

The previous prime is 5185942692797. The next prime is 5185942692851. The reversal of 5185942692840 is 482962495815.

5185942692840 is a `hidden beast` number, since 5 + 1 + 8 + 5 + 94 + 269 + 284 + 0 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 349259724324 + 4836682968516 = 590982^2 + 2199246^2 .

It is a super-2 number, since 2×51859426928402 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 22646037846 + ... + 22646038074.

Almost surely, 25185942692840 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 5185942692840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603787904800).

5185942692840 is an abundant number, since it is smaller than the sum of its proper divisors (18021633116760).

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

5185942692840 is a wasteful number, since it uses less digits than its factorization.

5185942692840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 5185942692840 in words is "five trillion, one hundred eighty-five billion, nine hundred forty-two million, six hundred ninety-two thousand, eight hundred forty".