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100774135712 = 2517229808937
BaseRepresentation
bin101110111011010011…
…0110100011110100000
3100122010010022111210202
41131312212310132200
53122341134320322
6114143415244332
710165164006635
oct1356646643640
9318103274722
10100774135712
1139813410788
12176450796a8
139670007c03
144c3dbb618c
15294c1a3292
hex17769b47a0

100774135712 has 48 divisors (see below), whose sum is σ = 210987209160. Its totient is φ = 47215976448.

The previous prime is 100774135699. The next prime is 100774135723. The reversal of 100774135712 is 217531477001.

It can be written as a sum of positive squares in 4 ways, for example, as 96226521616 + 4547614096 = 310204^2 + 67436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 279893 + ... + 529044.

Almost surely, 2100774135712 is an apocalyptic number.

It is an amenable number.

100774135712 is an abundant number, since it is smaller than the sum of its proper divisors (110213073448).

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

100774135712 is a wasteful number, since it uses less digits than its factorization.

100774135712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809193 (or 809185 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 100774135712 in words is "one hundred billion, seven hundred seventy-four million, one hundred thirty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 229 272 458 544 916 1832 3664 3893 7328 7786 15572 31144 62288 124576 808937 1617874 3235748 6471496 12942992 13751929 25885984 27503858 55007716 110015432 185246573 220030864 370493146 440061728 740986292 1481972584 2963945168 3149191741 5927890336 6298383482 12596766964 25193533928 50387067856 100774135712