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10946890926 = 2321933079679
BaseRepresentation
bin10100011000111110…
…00100110010101110
31001020220111200021200
422030133010302232
5134404401002201
65010125510330
7535163015616
oct121437046256
931226450250
1010946890926
1147082641a4
1221561123a6
131055c2106a
1475bc07a46
1544109d386
hex28c7c4cae

10946890926 has 48 divisors (see below), whose sum is σ = 24976723200. Its totient is φ = 3455510544.

The previous prime is 10946890921. The next prime is 10946890939. The reversal of 10946890926 is 62909864901.

10946890926 is a `hidden beast` number, since 1 + 0 + 9 + 468 + 90 + 92 + 6 = 666.

10946890926 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 2×109468909262 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10946890921) 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 23 ways as a sum of consecutive naturals, for example, 1126155 + ... + 1135833.

It is an arithmetic number, because the mean of its divisors is an integer number (520348400).

Almost surely, 210946890926 is an apocalyptic number.

10946890926 is an abundant number, since it is smaller than the sum of its proper divisors (14029832274).

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

10946890926 is a wasteful number, since it uses less digits than its factorization.

10946890926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 13010 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 10946890926 in words is "ten billion, nine hundred forty-six million, eight hundred ninety thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 3307 6614 9679 9921 19358 19842 29037 29763 58074 59526 62833 87111 125666 174222 183901 188499 367802 376998 551703 565497 1103406 1130994 1655109 3310218 32008453 64016906 96025359 192050718 288076077 576152154 608160607 1216321214 1824481821 3648963642 5473445463 10946890926