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1057681840960 = 26517194426809
BaseRepresentation
bin11110110010000101100…
…00000001101101000000
310202010001122222112212001
433121002300001231000
5114312113022402320
62125520424313344
7136262225211403
oct17310260015500
93663048875761
101057681840960
11378618909838
12150b9b612854
137897b693394
14392990a1d3a
151c7a570c20a
hexf642c01b40

1057681840960 has 56 divisors (see below), whose sum is σ = 2666758125960. Its totient is φ = 398186102784.

The previous prime is 1057681840949. The next prime is 1057681841053. The reversal of 1057681840960 is 690481867501.

It can be written as a sum of positive squares in 4 ways, for example, as 74585794816 + 983096046144 = 273104^2 + 991512^2 .

It is a super-2 number, since 2×10576818409602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97207965 + ... + 97218844.

Almost surely, 21057681840960 is an apocalyptic number.

1057681840960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057681840960 is an abundant number, since it is smaller than the sum of its proper divisors (1609076285000).

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

1057681840960 is a wasteful number, since it uses less digits than its factorization.

1057681840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194426843 (or 194426833 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 1057681840960 in words is "one trillion, fifty-seven billion, six hundred eighty-one million, eight hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 194426809 388853618 777707236 972134045 1555414472 1944268090 3110828944 3305255753 3888536180 6221657888 6610511506 7777072360 12443315776 13221023012 15554144720 16526278765 26442046024 31108289440 33052557530 52884092048 62216578880 66105115060 105768184096 132210230120 211536368192 264420460240 528840920480 1057681840960