Search a number
-
+
1057328637184 = 285377928113
BaseRepresentation
bin11110110001011011011…
…00101010010100000000
310202002011001100221100201
433120231230222110000
5114310402112342214
62125421410054544
7136250406061651
oct17305554522400
93662131327321
101057328637184
113784574a6596
12150b0127a454
1378923457b71
14392641dd528
151c7846de274
hexf62db2a500

1057328637184 has 36 divisors (see below), whose sum is σ = 2150348377716. Its totient is φ = 518689513472.

The previous prime is 1057328637151. The next prime is 1057328637193. The reversal of 1057328637184 is 4817368237501.

It can be written as a sum of positive squares in 2 ways, for example, as 920310211584 + 137018425600 = 959328^2 + 370160^2 .

It is a super-2 number, since 2×10573286371842 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38950489 + ... + 38977624.

It is an arithmetic number, because the mean of its divisors is an integer number (59731899381).

Almost surely, 21057328637184 is an apocalyptic number.

It is an amenable number.

1057328637184 is an abundant number, since it is smaller than the sum of its proper divisors (1093019740532).

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

1057328637184 is an frugal number, since it uses more digits than its factorization.

1057328637184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77928182 (or 77928168 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 1057328637184 in words is "one trillion, fifty-seven billion, three hundred twenty-eight million, six hundred thirty-seven thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 77928113 155856226 311712452 623424904 1246849808 2493699616 4130189989 4987399232 8260379978 9974798464 16520759956 19949596928 33041519912 66083039824 132166079648 264332159296 528664318592 1057328637184