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100856640780 = 22335726681651
BaseRepresentation
bin101110111101110000…
…1100011010100001100
3100122022212120012111000
41131323201203110030
53123023300001110
6114155523500300
710200215205330
oct1357341432414
9318285505430
10100856640780
1139855a42a95
1217668827690
13968413458c
144c4ab317c0
15295454e1c0
hex177b86350c

100856640780 has 96 divisors (see below), whose sum is σ = 358601402880. Its totient is φ = 23052945600.

The previous prime is 100856640779. The next prime is 100856640803. The reversal of 100856640780 is 87046658001.

It is a happy number.

100856640780 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 566 + 4 + 0 + 7 + 80 = 666.

100856640780 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 13337046 + ... + 13344605.

It is an arithmetic number, because the mean of its divisors is an integer number (3735431280).

Almost surely, 2100856640780 is an apocalyptic number.

100856640780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100856640780 is an abundant number, since it is smaller than the sum of its proper divisors (257744762100).

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

100856640780 is a wasteful number, since it uses less digits than its factorization.

100856640780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26681676 (or 26681668 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 100856640780 in words is "one hundred billion, eight hundred fifty-six million, six hundred forty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 26681651 53363302 80044953 106726604 133408255 160089906 186771557 240134859 266816510 320179812 373543114 400224765 480269718 533633020 560314671 720404577 747086228 800449530 933857785 960539436 1120629342 1200674295 1440809154 1600899060 1680944013 1867715570 2241258684 2401348590 2801573355 2881618308 3361888026 3602022885 3735431140 4802697180 5042832039 5603146710 6723776052 7204045770 8404720065 10085664078 11206293420 14408091540 16809440130 20171328156 25214160195 33618880260 50428320390 100856640780