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135013747644 = 22337739531697
BaseRepresentation
bin111110110111101110…
…0100100101110111100
3110220111100012000102000
41331233130210232330
54203002004411034
6142005141102300
712516523630266
oct1755734445674
9426440160360
10135013747644
1152293816a26
12221bb9b7990
13c968837a09
14676b308b36
1537a30d3599
hex1f6f724bbc

135013747644 has 96 divisors (see below), whose sum is σ = 351062994240. Its totient is φ = 44872740864.

The previous prime is 135013747639. The next prime is 135013747667. The reversal of 135013747644 is 446747310531.

135013747644 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 137 + 476 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135013747644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79559404 + ... + 79561100.

It is an arithmetic number, because the mean of its divisors is an integer number (3656906190).

Almost surely, 2135013747644 is an apocalyptic number.

It is an amenable number.

135013747644 is an abundant number, since it is smaller than the sum of its proper divisors (216049246596).

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

135013747644 is a wasteful number, since it uses less digits than its factorization.

135013747644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 135013747644 in words is "one hundred thirty-five billion, thirteen million, seven hundred forty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 773 953 1546 1697 1906 2319 2859 3092 3394 3812 4638 5091 5718 6788 6957 8577 9276 10182 11436 13914 15273 17154 20364 20871 25731 27828 30546 34308 41742 45819 51462 61092 83484 91638 102924 183276 736669 1311781 1473338 1617241 2210007 2623562 2946676 3234482 3935343 4420014 4851723 5247124 6468964 6630021 7870686 8840028 9703446 11806029 13260042 14555169 15741372 19406892 19890063 23612058 26520084 29110338 35418087 39780126 43665507 47224116 58220676 70836174 79560252 87331014 141672348 174662028 1250127293 2500254586 3750381879 5000509172 7500763758 11251145637 15001527516 22502291274 33753436911 45004582548 67506873822 135013747644