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210121941792 = 25371935945841
BaseRepresentation
bin1100001110110000111…
…1100110001100100000
3202002100202111121022110
43003230033212030200
511420312204114132
6240310110235320
721116006015250
oct3035417461440
9662322447273
10210121941792
11811263a3954
12348814b5b40
1316a78363349
14a254507960
1556ebdbd1cc
hex30ec3e6320

210121941792 has 192 divisors, whose sum is σ = 665405798400. Its totient is φ = 56715448320.

The previous prime is 210121941781. The next prime is 210121941793. The reversal of 210121941792 is 297149121012.

210121941792 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 210121941792.

It is not an unprimeable number, because it can be changed into a prime (210121941793) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4560792 + ... + 4606632.

It is an arithmetic number, because the mean of its divisors is an integer number (3465655200).

Almost surely, 2210121941792 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 210121941792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332702899200).

210121941792 is an abundant number, since it is smaller than the sum of its proper divisors (455283856608).

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

210121941792 is a wasteful number, since it uses less digits than its factorization.

210121941792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46239 (or 46231 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 210121941792 in words is "two hundred ten billion, one hundred twenty-one million, nine hundred forty-one thousand, seven hundred ninety-two".