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10858128358011 = 3114327734979153
BaseRepresentation
bin1001111000000001101011…
…1000100011101001111011
31102110000201122010112102120
42132000122320203221323
52410344421324424021
635032053313532323
72200321354133664
oct236003270435173
942400648115376
1010858128358011
1135069a7429510
1212744652740a3
13609bbcb79cbc
1429777154236b
1513c6a14cc2c6
hex9e01ae23a7b

10858128358011 has 64 divisors (see below), whose sum is σ = 16265957030400. Its totient is φ = 6386008688640.

The previous prime is 10858128358001. The next prime is 10858128358013. The reversal of 10858128358011 is 11085382185801.

10858128358011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-10858128358011 is a prime.

It is a super-2 number, since 2×108581283580112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10858128358013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 137139411 + ... + 137218563.

It is an arithmetic number, because the mean of its divisors is an integer number (254155578600).

Almost surely, 210858128358011 is an apocalyptic number.

10858128358011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10858128358011 is a deficient number, since it is larger than the sum of its proper divisors (5407828672389).

10858128358011 is a wasteful number, since it uses less digits than its factorization.

10858128358011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79836.

The product of its (nonzero) digits is 614400, while the sum is 51.

The spelling of 10858128358011 in words is "ten trillion, eight hundred fifty-eight billion, one hundred twenty-eight million, three hundred fifty-eight thousand, eleven".

Divisors: 1 3 11 33 43 129 277 349 473 831 1047 1419 3047 3839 9141 11517 11911 15007 35733 45021 79153 96673 131021 165077 237459 290019 393063 495231 870683 1063403 2612049 3190209 3403579 4156939 10210737 12470817 21925381 27624397 37439369 45726329 65776143 82873191 112318107 137178987 241179191 303868367 723537573 911605101 942791383 1187849071 2828374149 3563547213 7651957969 10370705213 13066339781 22955873907 31112115639 39199019343 84171537659 252514612977 329034192667 987102578001 3619376119337 10858128358011