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1413875967192 = 23321367181124561
BaseRepresentation
bin10100100100110001100…
…100110010010011011000
312000011110110001222000200
4110210301210302103120
5141131104221422232
63001305312502200
7204102110266623
oct24446144622330
95004413058020
101413875967192
114a569213a877
121aa02824a960
13a3435609350
144c609436dba
1526ba144277c
hex149319324d8

1413875967192 has 192 divisors, whose sum is σ = 4208511521760. Its totient is φ = 426174566400.

The previous prime is 1413875967187. The next prime is 1413875967193. The reversal of 1413875967192 is 2917695783141.

1413875967192 is a `hidden beast` number, since 1 + 4 + 1 + 38 + 7 + 596 + 7 + 1 + 9 + 2 = 666.

It is a super-2 number, since 2×14138759671922 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413875967193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11288592 + ... + 11413152.

Almost surely, 21413875967192 is an apocalyptic number.

1413875967192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413875967192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104255760880).

1413875967192 is an abundant number, since it is smaller than the sum of its proper divisors (2794635554568).

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

1413875967192 is a wasteful number, since it uses less digits than its factorization.

1413875967192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124834 (or 124827 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 1413875967192 in words is "one trillion, four hundred thirteen billion, eight hundred seventy-five million, nine hundred sixty-seven thousand, one hundred ninety-two".