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1053475361456 = 24731547755399
BaseRepresentation
bin11110101010010000000…
…01100101001010110000
310201201012111202020202212
433111020001211022300
5114230004143031311
62123543201031252
7136053046552640
oct17251001451260
93651174666685
101053475361456
1137685a4174a1
12150206925528
137845b05935b
1438dba560520
151c60b29cc8b
hexf5480652b0

1053475361456 has 80 divisors (see below), whose sum is σ = 2408426803200. Its totient is φ = 436837605120.

The previous prime is 1053475361447. The next prime is 1053475361467. The reversal of 1053475361456 is 6541635743501.

It is a super-2 number, since 2×10534753614562 (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 15 ways as a sum of consecutive naturals, for example, 18988445 + ... + 19043843.

It is an arithmetic number, because the mean of its divisors is an integer number (30105335040).

Almost surely, 21053475361456 is an apocalyptic number.

1053475361456 is a gapful number since it is divisible by the number (16) 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 1053475361456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204213401600).

1053475361456 is an abundant number, since it is smaller than the sum of its proper divisors (1354951441744).

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

1053475361456 is a wasteful number, since it uses less digits than its factorization.

1053475361456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60922 (or 60916 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 50.

The spelling of 1053475361456 in words is "one trillion, fifty-three billion, four hundred seventy-five million, three hundred sixty-one thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1736 3472 5477 10954 21908 38339 43816 55399 76678 87632 110798 153356 169787 221596 306712 339574 387793 443192 613424 679148 775586 886384 1188509 1358296 1551172 1717369 2377018 2716592 3102344 3434738 4754036 6204688 6869476 9508072 12021583 13738952 19016144 24043166 27477904 48086332 96172664 192345328 303420323 606840646 1213681292 2123942261 2427362584 4247884522 4854725168 8495769044 9406030013 16991538088 18812060026 33983076176 37624120052 65842210091 75248240104 131684420182 150496480208 263368840364 526737680728 1053475361456