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38933338500 = 223653715259
BaseRepresentation
bin100100010000100110…
…111001100110000100
310201111022221112000000
4210100212321212010
51114213413313000
625515152321300
72545542626340
oct442046714604
9121438845000
1038933338500
1115569944511
127666843230
1338960a5304
141c54a6a620
15102d039000
hex9109b9984

38933338500 has 336 divisors, whose sum is σ = 145709316480. Its totient is φ = 8898465600.

The previous prime is 38933338469. The next prime is 38933338553. The reversal of 38933338500 is 583333983.

38933338500 is a `hidden beast` number, since 3 + 89 + 3 + 33 + 38 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2543871 + ... + 2559129.

It is an arithmetic number, because the mean of its divisors is an integer number (433658680).

Almost surely, 238933338500 is an apocalyptic number.

38933338500 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 38933338500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72854658240).

38933338500 is an abundant number, since it is smaller than the sum of its proper divisors (106775977980).

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

38933338500 is a wasteful number, since it uses less digits than its factorization.

38933338500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15303 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 38933338500 in words is "thirty-eight billion, nine hundred thirty-three million, three hundred thirty-eight thousand, five hundred".