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1055059701696 = 263671113192941
BaseRepresentation
bin11110101101001100111…
…01010110111111000000
310201212021220222002000000
433112212131112333000
5114241230240423241
62124404315000000
7136140235331460
oct17264635267700
93655256862000
101055059701696
113774a27727a0
12150589439000
137865136b3a0
14390cab39ba0
151c6a0406eb6
hexf5a6756fc0

1055059701696 has 3136 divisors, whose sum is σ = 4701361996800. Its totient is φ = 225740390400.

The previous prime is 1055059701691. The next prime is 1055059701713. The reversal of 1055059701696 is 6961079505501.

1055059701696 is a `hidden beast` number, since 1 + 0 + 5 + 505 + 9 + 70 + 1 + 69 + 6 = 666.

It is a super-2 number, since 2×10550597016962 (a number of 25 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 not an unprimeable number, because it can be changed into a prime (1055059701691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 25733163436 + ... + 25733163476.

It is an arithmetic number, because the mean of its divisors is an integer number (1499158800).

Almost surely, 21055059701696 is an apocalyptic number.

1055059701696 is a gapful number since it is divisible by the number (16) 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 1055059701696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350680998400).

1055059701696 is an abundant number, since it is smaller than the sum of its proper divisors (3646302295104).

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

1055059701696 is a wasteful number, since it uses less digits than its factorization.

1055059701696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2551500, while the sum is 54.

The spelling of 1055059701696 in words is "one trillion, fifty-five billion, fifty-nine million, seven hundred one thousand, six hundred ninety-six".