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52930211400 = 2338521119193
BaseRepresentation
bin110001010010111000…
…101110111001001000
312001121210112100000000
4301102320232321020
51331400113231100
640152114043000
73552442242063
oct612270567110
9161553470000
1052930211400
11204a17a7270
12a312279460
134cb6b5aa21
1427c196b8da
15159bc50900
hexc52e2ee48

52930211400 has 864 divisors, whose sum is σ = 213061586400. Its totient is φ = 12093235200.

The previous prime is 52930211371. The next prime is 52930211413. The reversal of 52930211400 is 411203925.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 274249704 + ... + 274249896.

Almost surely, 252930211400 is an apocalyptic number.

52930211400 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 52930211400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106530793200).

52930211400 is an abundant number, since it is smaller than the sum of its proper divisors (160131375000).

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

52930211400 is a wasteful number, since it uses less digits than its factorization.

52930211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 52930211400 in words is "fifty-two billion, nine hundred thirty million, two hundred eleven thousand, four hundred".