Search a number
-
+
13415789981700 = 22325214906433313
BaseRepresentation
bin1100001100111001101101…
…1001010111000000000100
31202111112111110201002010100
43003032123121113000010
53224301014213403300
644311043454524100
72553154532211441
oct303163331270004
952445443632110
1013415789981700
114302671772047
1216080a0b06630
137641466c86a2
143454832ca9c8
15183e973dd700
hexc339b657004

13415789981700 has 54 divisors (see below), whose sum is σ = 42051048378794. Its totient is φ = 3577543994880.

The previous prime is 13415789981689. The next prime is 13415789981701. The reversal of 13415789981700 is 718998751431.

13415789981700 is a `hidden beast` number, since 1 + 3 + 41 + 578 + 9 + 9 + 8 + 17 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1225874124864 + 12189915856836 = 1107192^2 + 3491406^2 .

It is not an unprimeable number, because it can be changed into a prime (13415789981701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7453215757 + ... + 7453217556.

Almost surely, 213415789981700 is an apocalyptic number.

13415789981700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13415789981700 is an abundant number, since it is smaller than the sum of its proper divisors (28635258397094).

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

13415789981700 is a wasteful number, since it uses less digits than its factorization.

13415789981700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14906433333 (or 14906433323 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 13415789981700 in words is "thirteen trillion, four hundred fifteen billion, seven hundred eighty-nine million, nine hundred eighty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 14906433313 29812866626 44719299939 59625733252 74532166565 89438599878 134157899817 149064333130 178877199756 223596499695 268315799634 298128666260 372660832825 447192999390 536631599268 670789499085 745321665650 894385998780 1117982498475 1341578998170 1490643331300 2235964996950 2683157996340 3353947495425 4471929993900 6707894990850 13415789981700