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10037646942 = 23671131491483
BaseRepresentation
bin10010101100100101…
…00101011001011110
3221220112121022000120
421112102211121132
5131024114200232
64340005335410
7503512406541
oct112622453136
927815538016
1010037646942
114290a98794
121b41707566
13c3c73bc7b
146b3162858
153db34792c
hex2564a565e

10037646942 has 64 divisors (see below), whose sum is σ = 20707142400. Its totient is φ = 3242663424.

The previous prime is 10037646901. The next prime is 10037646947. The reversal of 10037646942 is 24964673001.

10037646942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100376469422 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10037646894 and 10037646903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10037646947) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6767733 + ... + 6769215.

It is an arithmetic number, because the mean of its divisors is an integer number (323549100).

Almost surely, 210037646942 is an apocalyptic number.

10037646942 is an abundant number, since it is smaller than the sum of its proper divisors (10669495458).

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

10037646942 is a wasteful number, since it uses less digits than its factorization.

10037646942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817.

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 10037646942 in words is "ten billion, thirty-seven million, six hundred forty-six thousand, nine hundred forty-two".

Divisors: 1 2 3 6 67 113 134 149 201 226 298 339 402 447 678 894 1483 2966 4449 7571 8898 9983 15142 16837 19966 22713 29949 33674 45426 50511 59898 99361 101022 167579 198722 220967 298083 335158 441934 502737 596166 662901 1005474 1128079 1325802 2256158 3384237 6768474 11227793 14804789 22455586 24969271 29609578 33683379 44414367 49938542 67366758 74907813 88828734 149815626 1672941157 3345882314 5018823471 10037646942