Search a number
-
+
10092720096 = 253331376819
BaseRepresentation
bin10010110011001001…
…01010111111100000
3222001101020022012000
421121210222333200
5131132214020341
64345254004000
7505051463634
oct113144527740
928041208160
1010092720096
11430a093a98
121b58046600
13c4ac82534
146ba5badc4
153e10c58b6
hex25992afe0

10092720096 has 96 divisors (see below), whose sum is σ = 30386764800. Its totient is φ = 3255707520.

The previous prime is 10092720073. The next prime is 10092720133. The reversal of 10092720096 is 69002729001.

10092720096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10092720096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161626 + ... + 215193.

It is an arithmetic number, because the mean of its divisors is an integer number (316528800).

Almost surely, 210092720096 is an apocalyptic number.

10092720096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10092720096 is an abundant number, since it is smaller than the sum of its proper divisors (20294044704).

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

10092720096 is a wasteful number, since it uses less digits than its factorization.

10092720096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376869 (or 376855 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10092720096 in words is "ten billion, ninety-two million, seven hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1488 1674 2232 2976 3348 4464 6696 8928 13392 26784 376819 753638 1130457 1507276 2260914 3014552 3391371 4521828 6029104 6782742 9043656 10174113 11681389 12058208 13565484 18087312 20348226 23362778 27130968 35044167 36174624 40696452 46725556 54261936 70088334 81392904 93451112 105132501 108523872 140176668 162785808 186902224 210265002 280353336 315397503 325571616 373804448 420530004 560706672 630795006 841060008 1121413344 1261590012 1682120016 2523180024 3364240032 5046360048 10092720096