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20963284144 = 2411269944131
BaseRepresentation
bin10011100001100000…
…100101010010110000
32000002222010011200021
4103201200211102300
5320413100043034
613344055533224
71341326655325
oct234140452260
960088104607
1020963284144
118988255720
12409068a214
131c9112b05a
14102c1d6b4c
1582a5e86b4
hex4e18254b0

20963284144 has 40 divisors (see below), whose sum is σ = 44326180800. Its totient is φ = 9525019200.

The previous prime is 20963284141. The next prime is 20963284189. The reversal of 20963284144 is 44148236902.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20963284144.

It is not an unprimeable number, because it can be changed into a prime (20963284141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 452959 + ... + 497089.

It is an arithmetic number, because the mean of its divisors is an integer number (1108154520).

Almost surely, 220963284144 is an apocalyptic number.

It is an amenable number.

20963284144 is an abundant number, since it is smaller than the sum of its proper divisors (23362896656).

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

20963284144 is a wasteful number, since it uses less digits than its factorization.

20963284144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46849 (or 46843 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 20963284144 in words is "twenty billion, nine hundred sixty-three million, two hundred eighty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2699 5398 10796 21592 29689 43184 44131 59378 88262 118756 176524 237512 353048 475024 485441 706096 970882 1941764 3883528 7767056 119109569 238219138 476438276 952876552 1310205259 1905753104 2620410518 5240821036 10481642072 20963284144