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899785044900 = 2232527245172
BaseRepresentation
bin11010001011111110101…
…11100011001110100100
310012000111120022020021100
431011333113203032210
5104220224432414100
61525204444120100
7122002340455200
oct15057727431644
93160446266240
10899785044900
11317662222955
12126474236030
1366b07096a41
143179aa2db00
151861371b400
hexd17f5e33a4

899785044900 has 243 divisors, whose sum is σ = 3281514142179. Its totient is φ = 205619621760.

The previous prime is 899785044869. The next prime is 899785044919. The reversal of 899785044900 is 9440587998.

The square root of 899785044900 is 948570.

It is a perfect power (a square), and thus also a powerful number.

899785044900 is a `hidden beast` number, since 8 + 9 + 97 + 8 + 50 + 4 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 520467016356 + 379318028544 = 721434^2 + 615888^2 .

It is a super-3 number, since 3×8997850449003 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 199197442 + ... + 199201958.

Almost surely, 2899785044900 is an apocalyptic number.

899785044900 is the 948570-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 899785044900

899785044900 is an abundant number, since it is smaller than the sum of its proper divisors (2381729097279).

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

899785044900 is a wasteful number, since it uses less digits than its factorization.

899785044900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9068 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 899785044900 in words is "eight hundred ninety-nine billion, seven hundred eighty-five million, forty-four thousand, nine hundred".