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52875481190400 = 2123552112337227
BaseRepresentation
bin11000000010111000010000…
…10001100001000000000000
320221012211212012022121200000
430001130020101201000000
523412302441141043100
6304242354414400000
714065061500311621
oct1401341021410000
9227184765277600
1052875481190400
1115936402742160
125b1b757800000
1323671a0b0768b
14d0b288d93a48
1561a62c846900
hex301708461000

52875481190400 has 3744 divisors, whose sum is σ = 230627416900608. Its totient is φ = 11877049958400.

The previous prime is 52875481190383. The next prime is 52875481190417. The reversal of 52875481190400 is 409118457825.

52875481190400 is a `hidden beast` number, since 5 + 2 + 8 + 7 + 5 + 48 + 1 + 190 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (52875481190383) and next prime (52875481190417).

It is a super-2 number, since 2×528754811904002 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232931635087 + ... + 232931635313.

It is an arithmetic number, because the mean of its divisors is an integer number (61599203232).

Almost surely, 252875481190400 is an apocalyptic number.

52875481190400 is a gapful number since it is divisible by the number (50) 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 52875481190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115313708450304).

52875481190400 is an abundant number, since it is smaller than the sum of its proper divisors (177751935710208).

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

52875481190400 is a wasteful number, since it uses less digits than its factorization.

52875481190400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 54.

The spelling of 52875481190400 in words is "fifty-two trillion, eight hundred seventy-five billion, four hundred eighty-one million, one hundred ninety thousand, four hundred".