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1973894695840 = 2556110112715767
BaseRepresentation
bin11100101110010101010…
…010101100101110100000
320222200222010002222220001
4130232111102230232200
5224320014020231330
64110443353425344
7262415644036414
oct34562522545640
96880863088801
101973894695840
116a1140107451
1227a67940b254
131141a3040b32
146b7737c6d44
153652b2779ca
hex1cb954acba0

1973894695840 has 192 divisors, whose sum is σ = 4824699199488. Its totient is φ = 762822144000.

The previous prime is 1973894695837. The next prime is 1973894695853. The reversal of 1973894695840 is 485964983791.

It is a super-2 number, since 2×19738946958402 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125183637 + ... + 125199403.

It is an arithmetic number, because the mean of its divisors is an integer number (25128641664).

Almost surely, 21973894695840 is an apocalyptic number.

1973894695840 is a gapful number since it is divisible by the number (10) 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 1973894695840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412349599744).

1973894695840 is an abundant number, since it is smaller than the sum of its proper divisors (2850804503648).

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

1973894695840 is a wasteful number, since it uses less digits than its factorization.

1973894695840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16071 (or 16063 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 73.

The spelling of 1973894695840 in words is "one trillion, nine hundred seventy-three billion, eight hundred ninety-four million, six hundred ninety-five thousand, eight hundred forty".