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1056932997120 = 211345711131967
BaseRepresentation
bin11110110000101100001…
…11011010100000000000
310202001010110220100020000
433120112013122200000
5114304044321401440
62125314234120000
7136234533146250
oct17302607324000
93661113810200
101056932997120
11378274139330
12150a10880000
137888c4b1c10
1439227851960
151c75eadc730
hexf6161da800

1056932997120 has 3840 divisors, whose sum is σ = 5434113484800. Its totient is φ = 189191946240.

The previous prime is 1056932997119. The next prime is 1056932997121. The reversal of 1056932997120 is 217992396501.

1056932997120 is a `hidden beast` number, since 1 + 0 + 569 + 3 + 2 + 9 + 9 + 71 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1056932997119) and next prime (1056932997121).

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×10569329971202 (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 not an unprimeable number, because it can be changed into a prime (1056932997121) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15775119327 + ... + 15775119393.

It is an arithmetic number, because the mean of its divisors is an integer number (1415133720).

Almost surely, 21056932997120 is an apocalyptic number.

1056932997120 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 1056932997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717056742400).

1056932997120 is an abundant number, since it is smaller than the sum of its proper divisors (4377180487680).

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

1056932997120 is a wasteful number, since it uses less digits than its factorization.

1056932997120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 1056932997120 in words is "one trillion, fifty-six billion, nine hundred thirty-two million, nine hundred ninety-seven thousand, one hundred twenty".