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38364423552 = 2733713199613
BaseRepresentation
bin100011101110101100…
…101010010110000000
310200000200102122102000
4203232230222112000
51112032243023202
625342510424000
72525464135230
oct435654522600
9120020378360
1038364423552
11152a7798274
127528202000
133805271550
141bdd295cc0
15ee810b91c
hex8eeb2a580

38364423552 has 512 divisors, whose sum is σ = 140286720000. Its totient is φ = 10050822144.

The previous prime is 38364423523. The next prime is 38364423569. The reversal of 38364423552 is 25532446383.

38364423552 is a `hidden beast` number, since 3 + 8 + 36 + 44 + 23 + 552 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 38364423498 and 38364423507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62584398 + ... + 62585010.

It is an arithmetic number, because the mean of its divisors is an integer number (273997500).

Almost surely, 238364423552 is an apocalyptic number.

38364423552 is a gapful number since it is divisible by the number (32) 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 38364423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70143360000).

38364423552 is an abundant number, since it is smaller than the sum of its proper divisors (101922296448).

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

38364423552 is a wasteful number, since it uses less digits than its factorization.

38364423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 837 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

The spelling of 38364423552 in words is "thirty-eight billion, three hundred sixty-four million, four hundred twenty-three thousand, five hundred fifty-two".