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52294201344 = 212347112389
BaseRepresentation
bin110000101100111110…
…100011000000000000
311222222110202200020000
4300230332203000000
51324044303420334
640005034120000
73530620243260
oct605476430000
9158873680200
1052294201344
11201a5793520
12a175280000
134c15164708
1427612cd7a0
151560ebd299
hexc2cfa3000

52294201344 has 1040 divisors, whose sum is σ = 205516776960. Its totient is φ = 12846366720.

The previous prime is 52294201343. The next prime is 52294201369. The reversal of 52294201344 is 44310249225.

It is a happy number.

52294201344 is a `hidden beast` number, since 5 + 2 + 294 + 20 + 1 + 344 = 666.

It is a super-2 number, since 2×522942013442 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 52294201299 and 52294201308.

It is not an unprimeable number, because it can be changed into a prime (52294201343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 587575252 + ... + 587575340.

Almost surely, 252294201344 is an apocalyptic number.

52294201344 is a gapful number since it is divisible by the number (54) 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 52294201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102758388480).

52294201344 is an abundant number, since it is smaller than the sum of its proper divisors (153222575616).

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

52294201344 is a wasteful number, since it uses less digits than its factorization.

52294201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 52294201344 in words is "fifty-two billion, two hundred ninety-four million, two hundred one thousand, three hundred forty-four".