Search a number
-
+
1057856060331 = 327152171103461
BaseRepresentation
bin11110110010011010010…
…00100111101110101011
310202010111210210210220100
433121031020213232223
5114312442122412311
62125550010400443
7136266442102530
oct17311510475653
93663453723810
101057856060331
113786a8193394
12151029a30123
13789a87c2075
14392b4292d87
151c7b5b72a56
hexf64d227bab

1057856060331 has 24 divisors (see below), whose sum is σ = 1746418410464. Its totient is φ = 604448904960.

The previous prime is 1057856060311. The next prime is 1057856060353. The reversal of 1057856060331 is 1330606587501.

1057856060331 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 8 + 5 + 6 + 0 + 603 + 31 = 666.

It is not a de Polignac number, because 1057856060331 - 26 = 1057856060267 is a prime.

It is a super-2 number, since 2×10578560603312 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1057856060311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 406941 + ... + 1510401.

Almost surely, 21057856060331 is an apocalyptic number.

1057856060331 is a deficient number, since it is larger than the sum of its proper divisors (688562350133).

1057856060331 is a wasteful number, since it uses less digits than its factorization.

1057856060331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118691 (or 1118688 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1057856060331 in words is "one trillion, fifty-seven billion, eight hundred fifty-six million, sixty thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 63 15217 45651 106519 136953 319557 958671 1103461 3310383 7724227 9931149 23172681 69518043 16791366037 50374098111 117539562259 151122294333 352618686777 1057856060331