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8995004956 = 2272323958441
BaseRepresentation
bin10000110000010010…
…01110001000011100
3212012212200121002201
420120021032020130
5121410210124311
64044322101244
7435622165150
oct103011161034
925185617081
108995004956
1138a649a3a3
1218b04aa824
13b04721852
146148b5060
15379a419c1
hex21824e21c

8995004956 has 48 divisors (see below), whose sum is σ = 18851051520. Its totient is φ = 3671902080.

The previous prime is 8995004951. The next prime is 8995004957. The reversal of 8995004956 is 6594005998.

It is a happy number.

It is a super-2 number, since 2×89950049562 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8995004897 and 8995004906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8995004951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124696 + ... + 183136.

It is an arithmetic number, because the mean of its divisors is an integer number (392730240).

Almost surely, 28995004956 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 8995004956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425525760).

8995004956 is an abundant number, since it is smaller than the sum of its proper divisors (9856046564).

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

8995004956 is a wasteful number, since it uses less digits than its factorization.

8995004956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58714 (or 58712 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 55.

The square root of 8995004956 is about 94841.9999578246. Note that the first 4 decimals coincide. The cubic root of 8995004956 is about 2079.6989329408.

It can be divided in two parts, 8995004 and 956, that multiplied together give a square (8599223824 = 927322).

The spelling of 8995004956 in words is "eight billion, nine hundred ninety-five million, four thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 23 28 46 92 161 239 322 478 644 956 1673 3346 5497 6692 10994 21988 38479 58441 76958 116882 153916 233764 409087 818174 1344143 1636348 2688286 5376572 9409001 13967399 18818002 27934798 37636004 55869596 97771793 195543586 321250177 391087172 642500354 1285000708 2248751239 4497502478 8995004956