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1055664060000 = 25354116723873
BaseRepresentation
bin11110101110010100111…
…10110011011001100000
310201220212001011122201220
433113022132303121200
5114243444444410000
62124544304255040
7136161224312154
oct17271236633140
93656761148656
101055664060000
11377782928070
12150717911480
1378719631954
14391470d9064
151c6d84d61a0
hexf5ca7b3660

1055664060000 has 480 divisors, whose sum is σ = 3834130785408. Its totient is φ = 252088320000.

The previous prime is 1055664059969. The next prime is 1055664060019. The reversal of 1055664060000 is 604665501.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×10556640600002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44208064 + ... + 44231936.

Almost surely, 21055664060000 is an apocalyptic number.

1055664060000 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 1055664060000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917065392704).

1055664060000 is an abundant number, since it is smaller than the sum of its proper divisors (2778466725408).

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

1055664060000 is a wasteful number, since it uses less digits than its factorization.

1055664060000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23984 (or 23961 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 1055664060000 in words is "one trillion, fifty-five billion, six hundred sixty-four million, sixty thousand".