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38793469923936 = 253871319106867
BaseRepresentation
bin10001101001000010011101…
…11111101001001001100000
312002100121201121201200000000
420310201032333221021200
520041043011300031221
6214301250221300000
711112510230442030
oct1064411677511140
9162317647650000
1038793469923936
11113a7244479202
124426526704600
13188529315b430
149818849db8c0
15474191adde26
hex23484efe9260

38793469923936 has 864 divisors, whose sum is σ = 148414208866560. Its totient is φ = 9692667546624.

The previous prime is 38793469923931. The next prime is 38793469923953. The reversal of 38793469923936 is 63932996439783.

It is a happy number.

38793469923936 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 3 + 469 + 92 + 39 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38793469923931) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 362953575 + ... + 363060441.

Almost surely, 238793469923936 is an apocalyptic number.

38793469923936 is a gapful number since it is divisible by the number (36) 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 38793469923936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74207104433280).

38793469923936 is an abundant number, since it is smaller than the sum of its proper divisors (109620738942624).

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

38793469923936 is a wasteful number, since it uses less digits than its factorization.

38793469923936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106940 (or 106911 counting only the distinct ones).

The product of its digits is 8571080448, while the sum is 81.

The spelling of 38793469923936 in words is "thirty-eight trillion, seven hundred ninety-three billion, four hundred sixty-nine million, nine hundred twenty-three thousand, nine hundred thirty-six".