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5640224544 = 2532149131437
BaseRepresentation
bin1010100000010111…
…01111111100100000
3112120002002002112100
411100023233330200
543022344141134
62331401330400
7256525055223
oct52013577440
915502062470
105640224544
11243483a1a9
121114a96a00
136bb69c296
143b71195ba
1523026c999
hex1502eff20

5640224544 has 72 divisors (see below), whose sum is σ = 16147158300. Its totient is φ = 1867442688.

The previous prime is 5640224539. The next prime is 5640224549. The reversal of 5640224544 is 4454220465.

5640224544 is a `hidden beast` number, since 5 + 6 + 402 + 245 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5640224539) and next prime (5640224549).

It can be written as a sum of positive squares in 2 ways, for example, as 5359996944 + 280227600 = 73212^2 + 16740^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5640224499 and 5640224508.

It is not an unprimeable number, because it can be changed into a prime (5640224549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22807 + ... + 108630.

Almost surely, 25640224544 is an apocalyptic number.

It is an amenable number.

5640224544 is an abundant number, since it is smaller than the sum of its proper divisors (10506933756).

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

5640224544 is a wasteful number, since it uses less digits than its factorization.

5640224544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131602 (or 131591 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 5640224544 is about 75101.4283752313. The cubic root of 5640224544 is about 1780.0497128732.

The spelling of 5640224544 in words is "five billion, six hundred forty million, two hundred twenty-four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 149 288 298 447 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 10728 14304 21456 42912 131437 262874 394311 525748 788622 1051496 1182933 1577244 2102992 2365866 3154488 4205984 4731732 6308976 9463464 12617952 18926928 19584113 37853856 39168226 58752339 78336452 117504678 156672904 176257017 235009356 313345808 352514034 470018712 626691616 705028068 940037424 1410056136 1880074848 2820112272 5640224544