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1050346601920 = 265711226918787
BaseRepresentation
bin11110100100011011000…
…10010011110111000000
310201102010110102210120001
433102031202103313000
5114202102212230140
62122304512525344
7135612365544010
oct17221542236700
93642113383501
101050346601920
113754a4302110
1214b692b50854
137807caa1b55
1438ba0bdbc40
151c4c6772e9a
hexf48d893dc0

1050346601920 has 224 divisors, whose sum is σ = 3119842091520. Its totient is φ = 327219056640.

The previous prime is 1050346601891. The next prime is 1050346601959. The reversal of 1050346601920 is 291066430501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10503466019202 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050346601920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55898767 + ... + 55917553.

It is an arithmetic number, because the mean of its divisors is an integer number (13927866480).

Almost surely, 21050346601920 is an apocalyptic number.

1050346601920 is a gapful number since it is divisible by the number (10) 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 1050346601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559921045760).

1050346601920 is an abundant number, since it is smaller than the sum of its proper divisors (2069495489600).

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

1050346601920 is a wasteful number, since it uses less digits than its factorization.

1050346601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21091 (or 21081 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1050346601920 in words is "one trillion, fifty billion, three hundred forty-six million, six hundred one thousand, nine hundred twenty".