Search a number
-
+
106378901854085 = 5717435970472239
BaseRepresentation
bin11000001100000001000100…
…101010000001011110000101
3111221122201112120112120221002
4120030001010222001132011
5102420402442333312320
61014125443131303045
731256423233236110
oct3014010452013605
9457581476476832
10106378901854085
11309940478936a3
12bb20b3abaaa85
134748644a87663
141c3aaa2b03577
15c4725ccb8675
hex60c044a81785

106378901854085 has 64 divisors (see below), whose sum is σ = 160744360550400. Its totient is φ = 65921422758912.

The previous prime is 106378901854033. The next prime is 106378901854087. The reversal of 106378901854085 is 580458109873601.

It is not a de Polignac number, because 106378901854085 - 222 = 106378897659781 is a prime.

It is a super-2 number, since 2×1063789018540852 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106378901854087) 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, 33726605 + ... + 36745634.

It is an arithmetic number, because the mean of its divisors is an integer number (2511630633600).

Almost surely, 2106378901854085 is an apocalyptic number.

It is an amenable number.

106378901854085 is a deficient number, since it is larger than the sum of its proper divisors (54365458696315).

106378901854085 is a wasteful number, since it uses less digits than its factorization.

106378901854085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70472370.

The product of its (nonzero) digits is 58060800, while the sum is 65.

The spelling of 106378901854085 in words is "one hundred six trillion, three hundred seventy-eight billion, nine hundred one million, eight hundred fifty-four thousand, eighty-five".

Divisors: 1 5 7 17 35 43 59 85 119 215 295 301 413 595 731 1003 1505 2065 2537 3655 5015 5117 7021 12685 17759 25585 35105 43129 88795 215645 301903 1509515 70472239 352361195 493305673 1198028063 2466528365 3030306277 4157862101 5990140315 8386196441 15151531385 20789310505 21212143939 29105034707 41930982205 51515206709 70683655717 106060719695 145525173535 178788070343 257576033545 353418278585 360606446963 494785590019 893940351715 1251516492401 1803032234815 2473927950095 3039397195831 6257582462005 15196985979155 21275780370817 106378901854085