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8805605004 = 223271131911619
BaseRepresentation
bin10000011001101101…
…01101111010001100
3211201200022002012200
420030312231322030
5121013213330004
64013434401500
7431132256540
oct101466557214
924650262180
108805605004
113809597409
121858b90290
13aa4409281
145d7691a20
153680cd239
hex20cdade8c

8805605004 has 144 divisors (see below), whose sum is σ = 25813831680. Its totient is φ = 2479034880.

The previous prime is 8805604987. The next prime is 8805605057. The reversal of 8805605004 is 4005065088.

It is a happy number.

8805605004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 8805605004.

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 47 ways as a sum of consecutive naturals, for example, 5438107 + ... + 5439725.

It is an arithmetic number, because the mean of its divisors is an integer number (179262720).

Almost surely, 28805605004 is an apocalyptic number.

8805605004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8805605004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12906915840).

8805605004 is an abundant number, since it is smaller than the sum of its proper divisors (17008226676).

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

8805605004 is a wasteful number, since it uses less digits than its factorization.

8805605004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8805605004 is about 93838.1852126308. The cubic root of 8805605004 is about 2064.9984662305.

The spelling of 8805605004 in words is "eight billion, eight hundred five million, six hundred five thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 113 126 191 226 252 339 382 452 573 678 764 791 1017 1146 1337 1356 1582 1619 1719 2034 2292 2373 2674 3164 3238 3438 4011 4068 4746 4857 5348 6476 6876 7119 8022 9492 9714 11333 12033 14238 14571 16044 19428 21583 22666 24066 28476 29142 33999 43166 45332 48132 58284 64749 67998 86332 101997 129498 135996 151081 182947 194247 203994 258996 302162 309229 365894 388494 407988 453243 548841 604324 618458 731788 776988 906486 927687 1097682 1236916 1280629 1359729 1646523 1812972 1855374 2164603 2195364 2561258 2719458 2783061 3293046 3710748 3841887 4329206 5122516 5438916 5566122 6493809 6586092 7683774 8658412 11132244 11525661 12987618 15367548 19481427 23051322 25975236 34942877 38962854 46102644 69885754 77925708 104828631 139771508 209657262 244600139 314485893 419314524 489200278 628971786 733800417 978400556 1257943572 1467600834 2201401251 2935201668 4402802502 8805605004