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38525233944960 = 2734571923832927
BaseRepresentation
bin10001100001001110110101…
…11000100101100110000000
312001101222100210102002120000
420300213122320211212000
520022144134342214320
6213534125333320000
711054233132312560
oct1060473270454600
9161358323362500
1038525233944960
1111303507236054
1243a2546a96000
131865bb5cc8449
149728ba2d2da0
1546c1e2d56c90
hex2309dae25980

38525233944960 has 2560 divisors, whose sum is σ = 174847080038400. Its totient is φ = 7880764243968.

The previous prime is 38525233944889. The next prime is 38525233944991. The reversal of 38525233944960 is 6944933252583.

It is a happy number.

38525233944960 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 52 + 3 + 3 + 94 + 496 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13162019017 + ... + 13162021943.

It is an arithmetic number, because the mean of its divisors is an integer number (68299640640).

Almost surely, 238525233944960 is an apocalyptic number.

38525233944960 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 38525233944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87423540019200).

38525233944960 is an abundant number, since it is smaller than the sum of its proper divisors (136321846093440).

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

38525233944960 is a wasteful number, since it uses less digits than its factorization.

38525233944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 38525233944960 in words is "thirty-eight trillion, five hundred twenty-five billion, two hundred thirty-three million, nine hundred forty-four thousand, nine hundred sixty".