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1053773247132 = 2232172935876627
BaseRepresentation
bin11110101010110011100…
…01111011001010011100
310201201222021021102002200
433111121301323022130
5114231111422402012
62124032521451500
7136063324545204
oct17253161731234
93651867242080
101053773247132
113769a2587401
1215028a640b90
13784a7996978
1439007d43404
151c6274e03dc
hexf559c7b29c

1053773247132 has 72 divisors (see below), whose sum is σ = 2830019499216. Its totient is φ = 329467160064.

The previous prime is 1053773247113. The next prime is 1053773247133. The reversal of 1053773247132 is 2317423773501.

1053773247132 is a `hidden beast` number, since 1 + 0 + 5 + 377 + 3 + 247 + 1 + 32 = 666.

It is a super-2 number, since 2×10537732471322 (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 (1053773247133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2758998 + ... + 3117629.

It is an arithmetic number, because the mean of its divisors is an integer number (39305826378).

Almost surely, 21053773247132 is an apocalyptic number.

1053773247132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1053773247132 is an abundant number, since it is smaller than the sum of its proper divisors (1776246252084).

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

1053773247132 is a wasteful number, since it uses less digits than its factorization.

1053773247132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876947 (or 5876942 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 1053773247132 in words is "one trillion, fifty-three billion, seven hundred seventy-three million, two hundred forty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 293 306 586 612 879 1172 1758 2637 3516 4981 5274 9962 10548 14943 19924 29886 44829 59772 89658 179316 5876627 11753254 17629881 23506508 35259762 52889643 70519524 99902659 105779286 199805318 211558572 299707977 399610636 599415954 899123931 1198831908 1721851711 1798247862 3443703422 3596495724 5165555133 6887406844 10331110266 15496665399 20662220532 29271479087 30993330798 58542958174 61986661596 87814437261 117085916348 175628874522 263443311783 351257749044 526886623566 1053773247132