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1055664835344 = 24327432737759
BaseRepresentation
bin11110101110010101000…
…01110000101100010000
310201220212002122001022100
433113022201300230100
5114244000144212334
62124544333040400
7136161234021510
oct17271241605420
93656762561270
101055664835344
11377783307649
12150718026100
1378719843832
143914725b840
151c6d85dac99
hexf5ca870b10

1055664835344 has 360 divisors, whose sum is σ = 3504605095680. Its totient is φ = 290531017728.

The previous prime is 1055664835339. The next prime is 1055664835361. The reversal of 1055664835344 is 4435384665501.

1055664835344 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 66 + 48 + 3 + 534 + 4 = 666.

It is a super-2 number, since 2×10556648353442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136052937 + ... + 136060695.

Almost surely, 21055664835344 is an apocalyptic number.

1055664835344 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 1055664835344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752302547840).

1055664835344 is an abundant number, since it is smaller than the sum of its proper divisors (2448940260336).

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

1055664835344 is a wasteful number, since it uses less digits than its factorization.

1055664835344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7939 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 1055664835344 in words is "one trillion, fifty-five billion, six hundred sixty-four million, eight hundred thirty-five thousand, three hundred forty-four".