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5677722440 = 2351333132987
BaseRepresentation
bin1010100100110101…
…10010101101001000
3112122200122011222022
411102122302231020
543111444104230
62335221144012
7260461562435
oct52232625510
915580564868
105677722440
112453a209a5
12112555b008
136c639aca0
143bc0bab8c
152336c81e5
hex1526b2b48

5677722440 has 64 divisors (see below), whose sum is σ = 13799540160. Its totient is φ = 2089992960.

The previous prime is 5677722433. The next prime is 5677722493. The reversal of 5677722440 is 442277765.

It is a junction number, because it is equal to n+sod(n) for n = 5677722391 and 5677722400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155627 + ... + 188613.

It is an arithmetic number, because the mean of its divisors is an integer number (215617815).

Almost surely, 25677722440 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 5677722440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6899770080).

5677722440 is an abundant number, since it is smaller than the sum of its proper divisors (8121817720).

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

5677722440 is a wasteful number, since it uses less digits than its factorization.

5677722440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33342 (or 33338 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 44.

The square root of 5677722440 is about 75350.6631689463. The cubic root of 5677722440 is about 1783.9857702619.

The spelling of 5677722440 in words is "five billion, six hundred seventy-seven million, seven hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 331 520 662 1324 1655 2648 3310 4303 6620 8606 13240 17212 21515 32987 34424 43030 65974 86060 131948 164935 172120 263896 329870 428831 659740 857662 1319480 1715324 2144155 3430648 4288310 8576620 10918697 17153240 21837394 43674788 54593485 87349576 109186970 141943061 218373940 283886122 436747880 567772244 709715305 1135544488 1419430610 2838861220 5677722440