Search a number
-
+
57382336980 = 22335106263587
BaseRepresentation
bin110101011100010000…
…001111100111010100
312111010001222202011000
4311130100033213110
51420004334240410
642205554343300
74100662550043
oct653420174724
9174101882130
1057382336980
11223769190a1
12b15528ab30
135546341767
142ac4d7455a
15175ca33dc0
hexd5c40f9d4

57382336980 has 48 divisors (see below), whose sum is σ = 178522827840. Its totient is φ = 15301956384.

The previous prime is 57382336939. The next prime is 57382336987. The reversal of 57382336980 is 8963328375.

57382336980 is a `hidden beast` number, since 573 + 8 + 2 + 3 + 3 + 69 + 8 + 0 = 666.

57382336980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57382336987) 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, 53131254 + ... + 53132333.

It is an arithmetic number, because the mean of its divisors is an integer number (3719225580).

Almost surely, 257382336980 is an apocalyptic number.

It is an amenable number.

57382336980 is an abundant number, since it is smaller than the sum of its proper divisors (121140490860).

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

57382336980 is a wasteful number, since it uses less digits than its factorization.

57382336980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106263605 (or 106263597 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 57382336980 in words is "fifty-seven billion, three hundred eighty-two million, three hundred thirty-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 106263587 212527174 318790761 425054348 531317935 637581522 956372283 1062635870 1275163044 1593953805 1912744566 2125271740 2869116849 3187907610 3825489132 4781861415 5738233698 6375815220 9563722830 11476467396 14345584245 19127445660 28691168490 57382336980