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141692888064 = 21037132127307
BaseRepresentation
bin1000001111110110001…
…1011110010000000000
3111112201211011111121010
42003331203132100000
54310141334404224
6145032014200520
713144165451010
oct2037543362000
9445654144533
10141692888064
1155100a39a92
12235647b3140
131049151b400
146c023c1c40
153a4466ce29
hex20fd8de400

141692888064 has 528 divisors, whose sum is σ = 472584634368. Its totient is φ = 36954537984.

The previous prime is 141692888063. The next prime is 141692888081. The reversal of 141692888064 is 460888296141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141692887995 and 141692888013.

It is not an unprimeable number, because it can be changed into a prime (141692888063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461540199 + ... + 461540505.

It is an arithmetic number, because the mean of its divisors is an integer number (895046656).

Almost surely, 2141692888064 is an apocalyptic number.

141692888064 is a gapful number since it is divisible by the number (14) 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 141692888064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236292317184).

141692888064 is an abundant number, since it is smaller than the sum of its proper divisors (330891746304).

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

141692888064 is a wasteful number, since it uses less digits than its factorization.

141692888064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 141692888064 in words is "one hundred forty-one billion, six hundred ninety-two million, eight hundred eighty-eight thousand, sixty-four".