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2192369925144 = 2337232973268013
BaseRepresentation
bin11111111001110011011…
…011100011110000011000
321202120220000210120110110
4133321303123203300120
5241404433200101034
64355054424044320
7314251653613620
oct37716333436030
97676800716413
102192369925144
117758627388a3
122b4a903036a0
1312b97cb81949
147817b47d880
153c066678de9
hex1fe736e3c18

2192369925144 has 256 divisors, whose sum is σ = 6854297241600. Its totient is φ = 570569674752.

The previous prime is 2192369925139. The next prime is 2192369925157. The reversal of 2192369925144 is 4415299632912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8046082 + ... + 8314094.

It is an arithmetic number, because the mean of its divisors is an integer number (26774598600).

Almost surely, 22192369925144 is an apocalyptic number.

2192369925144 is a gapful number since it is divisible by the number (24) 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 2192369925144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427148620800).

2192369925144 is an abundant number, since it is smaller than the sum of its proper divisors (4661927316456).

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

2192369925144 is a wasteful number, since it uses less digits than its factorization.

2192369925144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268154 (or 268150 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 57.

The spelling of 2192369925144 in words is "two trillion, one hundred ninety-two billion, three hundred sixty-nine million, nine hundred twenty-five thousand, one hundred forty-four".