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10552605804 = 22341323108929
BaseRepresentation
bin10011101001111101…
…11111110001101100
31000020102120220210000
421310332333301230
5133102431341204
64503042544300
7522334445406
oct116476776154
930212526700
1010552605804
114525741a24
122066068090
13cc2330a60
147216cdb76
1541b668039
hex274fbfc6c

10552605804 has 120 divisors (see below), whose sum is σ = 31000606560. Its totient is φ = 3105755136.

The previous prime is 10552605803. The next prime is 10552605829. The reversal of 10552605804 is 40850625501.

10552605804 is a `hidden beast` number, since 1 + 0 + 55 + 26 + 0 + 580 + 4 = 666.

It is a super-2 number, since 2×105526058042 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10552605803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42412 + ... + 151340.

It is an arithmetic number, because the mean of its divisors is an integer number (258338388).

Almost surely, 210552605804 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10552605804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15500303280).

10552605804 is an abundant number, since it is smaller than the sum of its proper divisors (20448000756).

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

10552605804 is a wasteful number, since it uses less digits than its factorization.

10552605804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108981 (or 108970 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10552605804 in words is "ten billion, five hundred fifty-two million, six hundred five thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 81 92 108 117 138 156 162 207 234 276 299 324 351 414 468 598 621 702 828 897 1053 1196 1242 1404 1794 1863 2106 2484 2691 3588 3726 4212 5382 7452 8073 10764 16146 24219 32292 48438 96876 108929 217858 326787 435716 653574 980361 1307148 1416077 1960722 2505367 2832154 2941083 3921444 4248231 5010734 5664308 5882166 7516101 8496462 8823249 10021468 11764332 12744693 15032202 16992924 17646498 22548303 25489386 30064404 32569771 35292996 38234079 45096606 50978772 65139542 67644909 76468158 90193212 97709313 114702237 130279084 135289818 152936316 195418626 202934727 229404474 270579636 293127939 390837252 405869454 458808948 586255878 811738908 879383817 1172511756 1758767634 2638151451 3517535268 5276302902 10552605804