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52330245312240 = 243257418313722271
BaseRepresentation
bin10111110011000000101011…
…01011101100111011110000
320212021201111202211012100200
423321200111223230323300
523324334320244442430
6303144103253315200
714010510155646450
oct1371402553547360
9225251452735320
1052330245312240
1115746150260995
125a51b51335b00
13232794ac3babc
14cccb2405dd60
1560b36a730460
hex2f9815aecef0

52330245312240 has 960 divisors, whose sum is σ = 209755406794752. Its totient is φ = 11444200243200.

The previous prime is 52330245312239. The next prime is 52330245312287. The reversal of 52330245312240 is 4221354203325.

52330245312240 is a `hidden beast` number, since 5 + 2 + 330 + 2 + 4 + 5 + 312 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52330245312195 and 52330245312204.

It is a congruent number.

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, 2349692305 + ... + 2349714575.

Almost surely, 252330245312240 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 52330245312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104877703397376).

52330245312240 is an abundant number, since it is smaller than the sum of its proper divisors (157425161482512).

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

52330245312240 is a wasteful number, since it uses less digits than its factorization.

52330245312240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22558 (or 22549 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 52330245312240 its reverse (4221354203325), we get a palindrome (56551599515565).

The spelling of 52330245312240 in words is "fifty-two trillion, three hundred thirty billion, two hundred forty-five million, three hundred twelve thousand, two hundred forty".