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1057533073110 = 232517240658711
BaseRepresentation
bin11110110001110011110…
…00100001011011010110
310202002200022001100201200
433120321320201123112
5114311311431314420
62125453551533330
7136255440543033
oct17307170413326
93662608040650
101057533073110
113785519392a8
12150b5982a246
1378956906277
143928341838a
151c797622b90
hexf639e216d6

1057533073110 has 72 divisors (see below), whose sum is σ = 2920840552656. Its totient is φ = 265420058880.

The previous prime is 1057533073109. The next prime is 1057533073117. The reversal of 1057533073110 is 113703357501.

1057533073110 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 5 + 330 + 7 + 311 + 0 = 666.

It is a super-2 number, since 2×10575330731102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057533073117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20303346 + ... + 20355365.

It is an arithmetic number, because the mean of its divisors is an integer number (40567229898).

Almost surely, 21057533073110 is an apocalyptic number.

1057533073110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1057533073110 is an abundant number, since it is smaller than the sum of its proper divisors (1863307479546).

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

1057533073110 is a wasteful number, since it uses less digits than its factorization.

1057533073110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40658758 (or 40658738 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The spelling of 1057533073110 in words is "one trillion, fifty-seven billion, five hundred thirty-three million, seventy-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 289 306 510 578 765 867 1445 1530 1734 2601 2890 4335 5202 8670 13005 26010 40658711 81317422 121976133 203293555 243952266 365928399 406587110 609880665 691198087 731856798 1219761330 1382396174 1829641995 2073594261 3455990435 3659283990 4147188522 6220782783 6911980870 10367971305 11750367479 12441565566 20735942610 23500734958 31103913915 35251102437 58751837395 62207827830 70502204874 105753307311 117503674790 176255512185 211506614622 352511024370 528766536555 1057533073110