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135307850460 = 22352398049167
BaseRepresentation
bin111111000000011111…
…0011111001011011100
3110221020211120222121220
41332000332133023130
54204102302203320
6142054244453340
712530024516016
oct1760076371334
9427224528556
10135307850460
1152424832802
12222823aa250
13c9b474c553
1467983c51b6
1537bdd29e40
hex1f80f9f2dc

135307850460 has 48 divisors (see below), whose sum is σ = 395334245376. Its totient is φ = 34513306432.

The previous prime is 135307850459. The next prime is 135307850477. The reversal of 135307850460 is 64058703531.

It is a super-2 number, since 2×1353078504602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49023204 + ... + 49025963.

It is an arithmetic number, because the mean of its divisors is an integer number (8236130112).

Almost surely, 2135307850460 is an apocalyptic number.

135307850460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135307850460 is an abundant number, since it is smaller than the sum of its proper divisors (260026394916).

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

135307850460 is a wasteful number, since it uses less digits than its factorization.

135307850460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98049202 (or 98049200 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 135307850460 in words is "one hundred thirty-five billion, three hundred seven million, eight hundred fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 98049167 196098334 294147501 392196668 490245835 588295002 980491670 1176590004 1470737505 1960983340 2255130841 2941475010 4510261682 5882950020 6765392523 9020523364 11275654205 13530785046 22551308410 27061570092 33826962615 45102616820 67653925230 135307850460