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1831418183401 = 1012133992
BaseRepresentation
bin11010101001101001000…
…001111011111011101001
320111002012200102020201221
4122221221001323323221
5220001221023332101
63521201503342041
7246213151464262
oct32515101737351
96432180366657
101831418183401
11646777901914
12256b362b1921
13103918384381
14648d92dd969
153298ce19aa1
hex1aa6907bee9

1831418183401 has 9 divisors (see below), whose sum is σ = 1849868630103. Its totient is φ = 1813150000200.

The previous prime is 1831418183389. The next prime is 1831418183461. The reversal of 1831418183401 is 1043818141381.

The square root of 1831418183401 is 1353299.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1759604903001 + 71813280400 = 1326501^2 + 267980^2 .

It is not a de Polignac number, because 1831418183401 - 221 = 1831416086249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1831418183461) 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 8 ways as a sum of consecutive naturals, for example, 136676500 + ... + 136689898.

Almost surely, 21831418183401 is an apocalyptic number.

1831418183401 is the 1353299-th square number.

1831418183401 is the 676650-th centered octagonal number.

It is an amenable number.

1831418183401 is a deficient number, since it is larger than the sum of its proper divisors (18450446702).

1831418183401 is an frugal number, since it uses more digits than its factorization.

1831418183401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27000 (or 13500 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 1831418183401 in words is "one trillion, eight hundred thirty-one billion, four hundred eighteen million, one hundred eighty-three thousand, four hundred one".

Divisors: 1 101 10201 13399 1353299 136683199 179533201 18132853301 1831418183401