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404233525010052 = 223240285127873107
BaseRepresentation
bin101101111101001011111001…
…1101010100001111010000100
31222000021100101101110110200100
41123322113303222201322010
5410440430224400310202
63551422152344244100
7151100623404524523
oct13372276352417204
91860240341413610
10404233525010052
1110788a525581741
12394071b9770630
131447309a1129ba
1471b70153024ba
1531b009588441c
hex16fa5f3aa1e84

404233525010052 has 36 divisors (see below), whose sum is σ = 1021815094665456. Its totient is φ = 134744169025200.

The previous prime is 404233525009967. The next prime is 404233525010143. The reversal of 404233525010052 is 250010525332404.

404233525010052 is a `hidden beast` number, since 4 + 0 + 4 + 23 + 3 + 525 + 0 + 100 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 404233525009989 and 404233525010016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 566083 + ... + 28439189.

It is an arithmetic number, because the mean of its divisors is an integer number (28383752629596).

Almost surely, 2404233525010052 is an apocalyptic number.

It is an amenable number.

404233525010052 is an abundant number, since it is smaller than the sum of its proper divisors (617581569655404).

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

404233525010052 is a wasteful number, since it uses less digits than its factorization.

404233525010052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28275968 (or 28275963 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 404233525010052 in words is "four hundred four trillion, two hundred thirty-three billion, five hundred twenty-five million, ten thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 402851 805702 1208553 1611404 2417106 3625659 4834212 7251318 14502636 27873107 55746214 83619321 111492428 167238642 250857963 334477284 501715926 1003431852 11228709028057 22457418056114 33686127084171 44914836112228 67372254168342 101058381252513 134744508336684 202116762505026 404233525010052