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904868812332 = 2233172521195497
BaseRepresentation
bin11010010101011100110…
…00100101011000101100
310012111121212022101011000
431022232120211120230
5104311132403443312
61531405131000300
7122242330666452
oct15125630453054
93174555271130
10904868812332
11319830944641
12127452899090
13674373a4754
1431b1dc989d2
151880ebbcadc
hexd2ae62562c

904868812332 has 96 divisors (see below), whose sum is σ = 2484951618240. Its totient is φ = 283766353920.

The previous prime is 904868812307. The next prime is 904868812343. The reversal of 904868812332 is 233218868409.

904868812332 is a `hidden beast` number, since 9 + 0 + 486 + 8 + 8 + 123 + 32 = 666.

It is a super-2 number, since 2×9048688123322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4530808 + ... + 4726304.

It is an arithmetic number, because the mean of its divisors is an integer number (25884912690).

Almost surely, 2904868812332 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 904868812332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242475809120).

904868812332 is an abundant number, since it is smaller than the sum of its proper divisors (1580082805908).

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

904868812332 is a wasteful number, since it uses less digits than its factorization.

904868812332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198048 (or 198040 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 904868812332 in words is "nine hundred four billion, eight hundred sixty-eight million, eight hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 2521 5042 7563 10084 15126 22689 30252 42857 45378 68067 85714 90756 128571 136134 171428 195497 257142 272268 385713 390994 514284 586491 771426 781988 1157139 1172982 1542852 1759473 2314278 2345964 3323449 3518946 4628556 5278419 6646898 7037892 9970347 10556838 13293796 19940694 21113676 29911041 39881388 59822082 89733123 119644164 179466246 358932492 492847937 985695874 1478543811 1971391748 2957087622 4435631433 5914175244 8378414929 8871262866 13306894299 16756829858 17742525732 25135244787 26613788598 33513659716 50270489574 53227577196 75405734361 100540979148 150811468722 226217203083 301622937444 452434406166 904868812332