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1057742376431 = 13433535360353
BaseRepresentation
bin11110110010001100101…
…10111100110111101111
310202010012212220001220112
433121012112330313233
5114312224022021211
62125530430010235
7136263561565556
oct17310626746757
93663185801815
101057742376431
11378649aa5a54
12150bb794697b
137898b099ca0
14392a313cd9d
151c7aabb888b
hexf6465bcdef

1057742376431 has 16 divisors (see below), whose sum is σ = 1168900234656. Its totient is φ = 950969327616.

The previous prime is 1057742376419. The next prime is 1057742376487. The reversal of 1057742376431 is 1346732477501.

It is a cyclic number.

It is not a de Polignac number, because 1057742376431 - 26 = 1057742376367 is a prime.

It is a super-2 number, since 2×10577423764312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1057742376431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057742376491) 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, 2482850 + ... + 2877503.

It is an arithmetic number, because the mean of its divisors is an integer number (73056264666).

Almost surely, 21057742376431 is an apocalyptic number.

1057742376431 is a deficient number, since it is larger than the sum of its proper divisors (111157858225).

1057742376431 is a wasteful number, since it uses less digits than its factorization.

1057742376431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360762.

The product of its (nonzero) digits is 2963520, while the sum is 50.

The spelling of 1057742376431 in words is "one trillion, fifty-seven billion, seven hundred forty-two million, three hundred seventy-six thousand, four hundred thirty-one".

Divisors: 1 13 43 353 559 4589 15179 197327 5360353 69684589 230495179 1892204609 2996437327 24598659917 81364798187 1057742376431