Search a number
-
+
10021044564 = 2232436473543
BaseRepresentation
bin10010101010100110…
…10000000101010100
3221212101100210211200
421111103100011110
5131010341411224
64334213432500
7503221321236
oct112523200524
927771323750
1010021044564
114282689113
121b3803b730
13c3917818b
146b0c80256
153d9b685c9
hex2554d0154

10021044564 has 36 divisors (see below), whose sum is σ = 25920070176. Its totient is φ = 3262665168.

The previous prime is 10021044557. The next prime is 10021044571. The reversal of 10021044564 is 46544012001.

10021044564 is a `hidden beast` number, since 1 + 0 + 0 + 210 + 445 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10021044557) and next prime (10021044571).

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3235224 + ... + 3238319.

Almost surely, 210021044564 is an apocalyptic number.

It is an amenable number.

10021044564 is an abundant number, since it is smaller than the sum of its proper divisors (15899025612).

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

10021044564 is a wasteful number, since it uses less digits than its factorization.

10021044564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473596 (or 6473591 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10021044564 its reverse (46544012001), we get a palindrome (56565056565).

The spelling of 10021044564 in words is "ten billion, twenty-one million, forty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 6473543 12947086 19420629 25894172 38841258 58261887 77682516 116523774 233047548 278362349 556724698 835087047 1113449396 1670174094 2505261141 3340348188 5010522282 10021044564