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1055015829504 = 2193572132
BaseRepresentation
bin11110101101000111101…
…10000000000000000000
310201212011212102010200000
433112203312000000000
5114241133023021004
62124400110400000
7136136163405300
oct17264366000000
93655155363600
101055015829504
1137747aa2798a
12150576800000
137864524a200
14390c4d99600
151c69b63cc39
hexf5a3d80000

1055015829504 has 1080 divisors, whose sum is σ = 3981317640300. Its totient is φ = 278245933056.

The previous prime is 1055015829457. The next prime is 1055015829529. The reversal of 1055015829504 is 4059285105501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

1055015829504 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 15 + 82 + 9 + 504 = 666.

It is a super-2 number, since 2×10550158295042 (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 1055015829504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 81155063802 + ... + 81155063814.

Almost surely, 21055015829504 is an apocalyptic number.

1055015829504 is a gapful number since it is divisible by the number (14) 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 1055015829504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990658820150).

1055015829504 is an abundant number, since it is smaller than the sum of its proper divisors (2926301810796).

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

1055015829504 is an frugal number, since it uses more digits than its factorization.

1055015829504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 45.

The spelling of 1055015829504 in words is "one trillion, fifty-five billion, fifteen million, eight hundred twenty-nine thousand, five hundred four".