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1057708873767 = 372131929130763
BaseRepresentation
bin11110110010001000101…
…11001001100000100111
310202010010112211221220010
433121010113021200213
5114312141432430032
62125523231541303
7136263004041300
oct17310427114047
93663115757803
101057708873767
113786320a29a7
12150ba868a833
1378984169920
143929c8db7a7
151c7a7c9bccc
hexf6445c9827

1057708873767 has 48 divisors (see below), whose sum is σ = 1859707973760. Its totient is φ = 528548545728.

The previous prime is 1057708873763. The next prime is 1057708873789. The reversal of 1057708873767 is 7673788077501.

It is not a de Polignac number, because 1057708873767 - 22 = 1057708873763 is a prime.

It is a super-2 number, since 2×10577088737672 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057708873698 and 1057708873707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057708873763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14529073 + ... + 14601690.

It is an arithmetic number, because the mean of its divisors is an integer number (38743916120).

Almost surely, 21057708873767 is an apocalyptic number.

1057708873767 is a deficient number, since it is larger than the sum of its proper divisors (801999099993).

1057708873767 is a wasteful number, since it uses less digits than its factorization.

1057708873767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29130812 (or 29130805 counting only the distinct ones).

The product of its (nonzero) digits is 96808320, while the sum is 66.

The spelling of 1057708873767 in words is "one trillion, fifty-seven billion, seven hundred eight million, eight hundred seventy-three thousand, seven hundred sixty-seven".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 399 637 741 931 1729 1911 2793 5187 12103 36309 29130763 87392289 203915341 378699919 553484497 611746023 1136099757 1427407387 1660453491 2650899433 3874391479 4282222161 7195298461 7952698299 11623174437 18556296031 21585895383 27120740353 50367089227 55668888093 81362221059 151101267681 352569624589 1057708873767