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135130309824 = 2632924269093
BaseRepresentation
bin111110111011001100…
…1001110010011000000
3110220210110111222122210
41331312121032103000
54203221324403244
6142024503302120
712522440452566
oct1756631162300
9426713458583
10135130309824
115234359a904
1222232a4a940
13c986a29c13
14677c9aba36
1537ad45a4b9
hex1f7664e4c0

135130309824 has 56 divisors (see below), whose sum is σ = 369860992560. Its totient is φ = 43490212864.

The previous prime is 135130309799. The next prime is 135130309859. The reversal of 135130309824 is 428903031531.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 12128979 + ... + 12140114.

Almost surely, 2135130309824 is an apocalyptic number.

It is an amenable number.

135130309824 is an abundant number, since it is smaller than the sum of its proper divisors (234730682736).

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

135130309824 is a wasteful number, since it uses less digits than its factorization.

135130309824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24269137 (or 24269127 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 135130309824 in words is "one hundred thirty-five billion, one hundred thirty million, three hundred nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 24269093 48538186 72807279 97076372 145614558 194152744 291229116 388305488 582458232 703803697 776610976 1164916464 1407607394 1553221952 2111411091 2329832928 2815214788 4222822182 4659665856 5630429576 8445644364 11260859152 16891288728 22521718304 33782577456 45043436608 67565154912 135130309824