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38901583746816 = 2837229414320219
BaseRepresentation
bin10001101100001011110110…
…00101001001011100000000
312002201221210020221220210020
420312011323011021130000
520044330420414344231
6214423050231533440
711123355336663600
oct1066057305113400
9162657706856706
1038901583746816
111143908395454a
12444347982a280
1318925329543ab
14986bbd4b4c00
15476dbd309396
hex23617b149700

38901583746816 has 864 divisors, whose sum is σ = 130605095174400. Its totient is φ = 10225740349440.

The previous prime is 38901583746799. The next prime is 38901583746847. The reversal of 38901583746816 is 61864738510983.

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 95 ways as a sum of consecutive naturals, for example, 1924001155 + ... + 1924021373.

It is an arithmetic number, because the mean of its divisors is an integer number (151163304600).

Almost surely, 238901583746816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38901583746816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65302547587200).

38901583746816 is an abundant number, since it is smaller than the sum of its proper divisors (91703511427584).

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

38901583746816 is a wasteful number, since it uses less digits than its factorization.

38901583746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20365 (or 20344 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 38901583746816 in words is "thirty-eight trillion, nine hundred one billion, five hundred eighty-three million, seven hundred forty-six thousand, eight hundred sixteen".