Search a number
-
+
153335450540325 = 35217472558789329
BaseRepresentation
bin100010110111010100110001…
…000011111001100100100101
3202002220201121012010010200210
4202313110301003321210211
5130044222000314242300
61302041200012530033
744204056256436114
oct4267246103714445
9662821535103623
10153335450540325
1144948221423949
1215245530180919
136773617876ca1
1429c169271dc7b
1512ad91870b050
hex8b75310f9925

153335450540325 has 48 divisors (see below), whose sum is σ = 274138453658880. Its totient is φ = 75330757816320.

The previous prime is 153335450540303. The next prime is 153335450540383. The reversal of 153335450540325 is 523045054533351.

It is not a de Polignac number, because 153335450540325 - 225 = 153335416985893 is a prime.

It is a super-2 number, since 2×1533354505403252 (a number of 29 digits) contains 22 as substring.

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, 1279334740 + ... + 1279454589.

It is an arithmetic number, because the mean of its divisors is an integer number (5711217784560).

Almost surely, 2153335450540325 is an apocalyptic number.

153335450540325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

153335450540325 is a deficient number, since it is larger than the sum of its proper divisors (120803003118555).

153335450540325 is a wasteful number, since it uses less digits than its factorization.

153335450540325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558789406 (or 2558789401 counting only the distinct ones).

The product of its (nonzero) digits is 8100000, while the sum is 48.

The spelling of 153335450540325 in words is "one hundred fifty-three trillion, three hundred thirty-five billion, four hundred fifty million, five hundred forty thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 47 51 75 85 141 235 255 425 705 799 1175 1275 2397 3525 3995 11985 19975 59925 2558789329 7676367987 12793946645 38381839935 43499418593 63969733225 120263098463 130498255779 191909199675 217497092965 360789295389 601315492315 652491278895 1087485464825 1803946476945 2044472673871 3006577461575 3262456394475 6133418021613 9019732384725 10222363369355 30667090108065 51111816846775 153335450540325