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1830826976401 = 233744916372927
BaseRepresentation
bin11010101001000101110…
…010101010010010010001
320111000200110221211012101
4122221011302222102101
5214444013201221101
63521023104000401
7246162412346563
oct32510562522221
96430613854171
101830826976401
116464a410a295
122569b0300101
13103852a46b47
14648809a5333
1532956087401
hex1aa45caa491

1830826976401 has 32 divisors (see below), whose sum is σ = 1968304665600. Its totient is φ = 1698481483776.

The previous prime is 1830826976383. The next prime is 1830826976411. The reversal of 1830826976401 is 1046796280381.

It is a cyclic number.

It is not a de Polignac number, because 1830826976401 - 25 = 1830826976369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1830826976411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625494600 + ... + 625497526.

It is an arithmetic number, because the mean of its divisors is an integer number (61509520800).

Almost surely, 21830826976401 is an apocalyptic number.

It is an amenable number.

1830826976401 is a deficient number, since it is larger than the sum of its proper divisors (137477689199).

1830826976401 is a wasteful number, since it uses less digits than its factorization.

1830826976401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5073.

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 1830826976401 in words is "one trillion, eight hundred thirty billion, eight hundred twenty-six million, nine hundred seventy-six thousand, four hundred one".

Divisors: 1 23 37 449 851 1637 2927 10327 16613 37651 60569 67321 108299 382099 735013 1314223 1393087 2490877 4791499 16905299 27195481 30227129 48626251 110204477 177285463 625496063 1118403773 2151383051 4077565649 49481810173 79601172887 1830826976401