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10120682448 = 2432130353939
BaseRepresentation
bin10010110110011110…
…10101101111010000
3222010022211221022200
421123033111233100
5131211343314243
64352133203200
7505541244552
oct113317255720
928108757280
1010120682448
114323952578
121b65490500
13c539c2bc6
146c01b94d2
153e379aad3
hex25b3d5bd0

10120682448 has 60 divisors (see below), whose sum is σ = 28346117280. Its totient is φ = 3370909248.

The previous prime is 10120682441. The next prime is 10120682461. The reversal of 10120682448 is 84428602101.

10120682448 is a `hidden beast` number, since 1 + 0 + 1 + 206 + 8 + 2 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120682441) 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, 160663 + ... + 214601.

It is an arithmetic number, because the mean of its divisors is an integer number (472435288).

Almost surely, 210120682448 is an apocalyptic number.

10120682448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10120682448 is an abundant number, since it is smaller than the sum of its proper divisors (18225434832).

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

10120682448 is a wasteful number, since it uses less digits than its factorization.

10120682448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55256 (or 55247 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 10120682448 in words is "ten billion, one hundred twenty million, six hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1303 2606 3909 5212 7818 10424 11727 15636 20848 23454 31272 46908 53939 62544 93816 107878 161817 187632 215756 323634 431512 485451 647268 863024 970902 1294536 1941804 2589072 3883608 7767216 70282517 140565034 210847551 281130068 421695102 562260136 632542653 843390204 1124520272 1265085306 1686780408 2530170612 3373560816 5060341224 10120682448