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1057248190962 = 2346526223401
BaseRepresentation
bin11110110001010001110…
…01110010000111110010
310202001221102222211220000
433120220321302013302
5114310221014102322
62125405413530430
7136245411226605
oct17305071620762
93661842884800
101057248190962
11378416050107
12150a9a343a16
137890c89c652
143925765c33c
151c77c5ed3ac
hexf628e721f2

1057248190962 has 20 divisors (see below), whose sum is σ = 2369019094926. Its totient is φ = 352416063600.

The previous prime is 1057248190949. The next prime is 1057248190979. The reversal of 1057248190962 is 2690918427501.

It is a happy number.

1057248190962 is a `hidden beast` number, since 1 + 0 + 5 + 72 + 481 + 9 + 0 + 96 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 742752672561 + 314495518401 = 861831^2 + 560799^2 .

It is a super-2 number, since 2×10572481909622 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1057248190899 and 1057248190908.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 3263111539 + ... + 3263111862.

Almost surely, 21057248190962 is an apocalyptic number.

1057248190962 is an abundant number, since it is smaller than the sum of its proper divisors (1311770903964).

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

1057248190962 is an equidigital number, since it uses as much as digits as its factorization.

1057248190962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6526223415 (or 6526223406 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1057248190962 in words is "one trillion, fifty-seven billion, two hundred forty-eight million, one hundred ninety thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 6526223401 13052446802 19578670203 39157340406 58736010609 117472021218 176208031827 352416063654 528624095481 1057248190962