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1285430317038 = 232731557359051
BaseRepresentation
bin10010101101001001100…
…111100000111111101110
311112212220211220212112200
4102231021213200333232
5132030030130121123
62422304000442330
7161604106262520
oct22551147407756
94485824825480
101285430317038
114561699a279a
121891600193a6
13942a577606a
144630257ba10
1523684cb2143
hex12b499e0fee

1285430317038 has 96 divisors (see below), whose sum is σ = 3286291986432. Its totient is φ = 355348728000.

The previous prime is 1285430317021. The next prime is 1285430317049. The reversal of 1285430317038 is 8307130345821.

1285430317038 is a `hidden beast` number, since 1 + 2 + 8 + 543 + 0 + 3 + 1 + 70 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1285430316984 and 1285430317002.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21738613 + ... + 21797663.

It is an arithmetic number, because the mean of its divisors is an integer number (34232208192).

Almost surely, 21285430317038 is an apocalyptic number.

1285430317038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1285430317038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643145993216).

1285430317038 is an abundant number, since it is smaller than the sum of its proper divisors (2000861669394).

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

1285430317038 is a wasteful number, since it uses less digits than its factorization.

1285430317038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64670 (or 64667 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 1285430317038 in words is "one trillion, two hundred eighty-five billion, four hundred thirty million, three hundred seventeen thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 5573 11146 16719 33438 39011 50157 59051 78022 100314 117033 118102 172763 177153 234066 345526 351099 354306 413357 518289 531459 702198 826714 1036578 1062918 1209341 1240071 1554867 1830581 2418682 2480142 3109734 3628023 3661162 3720213 5491743 7256046 7440426 10884069 10983486 12814067 16475229 21768138 25628134 32950458 38442201 76884402 115326603 230653206 329091223 658182446 987273669 1974547338 2303638561 2961821007 4607277122 5923642014 6910915683 10201827913 13821831366 20403655826 20732747049 30605483739 41465494098 61210967478 71412795391 91816451217 142825590782 183632902434 214238386173 428476772346 642715158519 1285430317038