Search a number
-
+
53583002088 = 233711211712251
BaseRepresentation
bin110001111001110010…
…111011100111101000
312010022021212112110220
4301321302323213220
51334214222031323
640340553410040
73604560000660
oct617162734750
9163267775426
1053583002088
11207a7231600
12a474a09920
13508c17acc5
1428445371a0
1515d91ea0e3
hexc79cbb9e8

53583002088 has 192 divisors, whose sum is σ = 168495720960. Its totient is φ = 13899600000.

The previous prime is 53583002069. The next prime is 53583002113. The reversal of 53583002088 is 88020038535.

It is a super-2 number, since 2×535830020882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 23802963 + ... + 23805213.

It is an arithmetic number, because the mean of its divisors is an integer number (877581880).

Almost surely, 253583002088 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 53583002088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84247860480).

53583002088 is an abundant number, since it is smaller than the sum of its proper divisors (114912718872).

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

53583002088 is a wasteful number, since it uses less digits than its factorization.

53583002088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3445 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 53583002088 in words is "fifty-three billion, five hundred eighty-three million, two thousand, eighty-eight".