Search a number
-
+
10922920146 = 234193795911
BaseRepresentation
bin10100010110000111…
…01000100011010010
31001012020101211120000
422023003220203102
5134332231421041
65003512030430
7534452201145
oct121303504322
931166354500
1010922920146
1146a5781636
12214a092416
131050c7a478
1475896805c
1543de15bb6
hex28b0e88d2

10922920146 has 80 divisors (see below), whose sum is σ = 26460202560. Its totient is φ = 3356082720.

The previous prime is 10922920111. The next prime is 10922920159. The reversal of 10922920146 is 64102922901.

It is a super-2 number, since 2×109229201462 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10922920146.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 65931 + ... + 161841.

It is an arithmetic number, because the mean of its divisors is an integer number (330752532).

Almost surely, 210922920146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10922920146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13230101280).

10922920146 is an abundant number, since it is smaller than the sum of its proper divisors (15537282414).

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

10922920146 is a wasteful number, since it uses less digits than its factorization.

10922920146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95981 (or 95972 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10922920146 in words is "ten billion, nine hundred twenty-two million, nine hundred twenty thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 513 666 703 999 1026 1406 1539 1998 2109 2997 3078 4218 5994 6327 12654 18981 37962 56943 95911 113886 191822 287733 575466 863199 1726398 1822309 2589597 3548707 3644618 5179194 5466927 7097414 7768791 10646121 10933854 15537582 16400781 21292242 31938363 32801562 49202343 63876726 67425433 95815089 98404686 134850866 147607029 191630178 202276299 287445267 295214058 404552598 574890534 606828897 1213657794 1820486691 3640973382 5461460073 10922920146