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100780224282648 = 23321680678328377
BaseRepresentation
bin10110111010100010111001…
…011110000000000000011000
3111012211111101002221201222100
4112322202321132000000120
5101202140344404021043
6554201443524523400
730141062623131531
oct2672427136000030
9435744332851870
10100780224282648
112a1257202aa809
12b377a71250560
1344306c4024801
141ac5b08995688
15b9b7d1899cd3
hex5ba8b9780018

100780224282648 has 48 divisors (see below), whose sum is σ = 272948097572280. Its totient is φ = 33593204179584.

The previous prime is 100780224282641. The next prime is 100780224282667. The reversal of 100780224282648 is 846282422087001.

It is a happy number.

100780224282648 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 80 + 224 + 282 + 64 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100780224282594 and 100780224282603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100780224282641) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7936636 + ... + 16265012.

Almost surely, 2100780224282648 is an apocalyptic number.

100780224282648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100780224282648 is an abundant number, since it is smaller than the sum of its proper divisors (172167873289632).

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

100780224282648 is a wasteful number, since it uses less digits than its factorization.

100780224282648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496456 (or 8496449 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The spelling of 100780224282648 in words is "one hundred trillion, seven hundred eighty billion, two hundred twenty-four million, two hundred eighty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 168067 336134 504201 672268 1008402 1344536 1512603 2016804 3025206 4033608 6050412 8328377 12100824 16656754 24985131 33313508 49970262 66627016 74955393 99940524 149910786 199881048 299821572 599643144 1399725337259 2799450674518 4199176011777 5598901349036 8398352023554 11197802698072 12597528035331 16796704047108 25195056070662 33593408094216 50390112141324 100780224282648