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1054338730656 = 25326341759297
BaseRepresentation
bin11110101011110110111…
…11000100101010100000
310201210102200022221122220
433111323133010222200
5114233241203340111
62124205002031040
7136113332225211
oct17257337045240
93653380287586
101054338730656
113771627aa562
12150407aa8480
1378567b988c3
143905d0a3408
151c65be90e06
hexf57b7c4aa0

1054338730656 has 48 divisors (see below), whose sum is σ = 2778162577344. Its totient is φ = 350109937664.

The previous prime is 1054338730639. The next prime is 1054338730681. The reversal of 1054338730656 is 6560378334501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10543387306562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054338730599 and 1054338730608.

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, 20854401 + ... + 20904896.

It is an arithmetic number, because the mean of its divisors is an integer number (57878387028).

Almost surely, 21054338730656 is an apocalyptic number.

1054338730656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1054338730656 is an abundant number, since it is smaller than the sum of its proper divisors (1723823846688).

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

1054338730656 is a wasteful number, since it uses less digits than its factorization.

1054338730656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41759573 (or 41759565 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 1054338730656 in words is "one trillion, fifty-four billion, three hundred thirty-eight million, seven hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 263 526 789 1052 1578 2104 3156 4208 6312 8416 12624 25248 41759297 83518594 125277891 167037188 250555782 334074376 501111564 668148752 1002223128 1336297504 2004446256 4008892512 10982695111 21965390222 32948085333 43930780444 65896170666 87861560888 131792341332 175723121776 263584682664 351446243552 527169365328 1054338730656