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39997940023800 = 233252112172331109139
BaseRepresentation
bin10010001100000101111110…
…00000011100000111111000
312020121202200012201101012200
421012002333000130013320
520220311240121230200
6221022444443510200
711265520145404143
oct1106027700340770
9166552605641180
1039997940023800
1111821038443500
12459ba51228360
131941a35881235
149c3ca6a8b05a
15495688e5d800
hex2460bf01c1f8

39997940023800 has 3456 divisors, whose sum is σ = 171160045056000. Its totient is φ = 8309993472000.

The previous prime is 39997940023781. The next prime is 39997940023801. The reversal of 39997940023800 is 832004979993.

39997940023800 is a `hidden beast` number, since 399 + 9 + 7 + 9 + 4 + 0 + 0 + 238 + 0 + 0 = 666.

It is a super-2 number, since 2×399979400238002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39997940023801) by changing a digit.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 287754964131 + ... + 287754964269.

It is an arithmetic number, because the mean of its divisors is an integer number (49525476000).

Almost surely, 239997940023800 is an apocalyptic number.

39997940023800 is a gapful number since it is divisible by the number (30) 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 39997940023800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85580022528000).

39997940023800 is an abundant number, since it is smaller than the sum of its proper divisors (131162105032200).

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

39997940023800 is a wasteful number, since it uses less digits than its factorization.

39997940023800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 39997940023800 in words is "thirty-nine trillion, nine hundred ninety-seven billion, nine hundred forty million, twenty-three thousand, eight hundred".