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1057415748480 = 27335713323173
BaseRepresentation
bin11110110001100101110…
…00111101101110000000
310202002101010021122121000
433120302320331232000
5114311041412422410
62125434201132000
7136252514363520
oct17306270755600
93662333248530
101057415748480
113784a16945a3
12150b2648a000
1378938508000
14392719d7680
151c78c199dc0
hexf632e3db80

1057415748480 has 2048 divisors, whose sum is σ = 4866075648000. Its totient is φ = 212169424896.

The previous prime is 1057415748479. The next prime is 1057415748509. The reversal of 1057415748480 is 848475147501.

It is a happy number.

1057415748480 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 4 + 157 + 4 + 8 + 480 = 666.

It is a super-2 number, since 2×10574157484802 (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6112229674 + ... + 6112229846.

It is an arithmetic number, because the mean of its divisors is an integer number (2376013500).

Almost surely, 21057415748480 is an apocalyptic number.

1057415748480 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 1057415748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433037824000).

1057415748480 is an abundant number, since it is smaller than the sum of its proper divisors (3808659899520).

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

1057415748480 is a wasteful number, since it uses less digits than its factorization.

1057415748480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 5017600, while the sum is 54.

The spelling of 1057415748480 in words is "one trillion, fifty-seven billion, four hundred fifteen million, seven hundred forty-eight thousand, four hundred eighty".