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38068233552 = 2434174797379
BaseRepresentation
bin100011011101000010…
…110010010101010000
310122021001002122010000
4203131002302111100
51110430431433202
625253250210000
72515236434436
oct433502622520
9118231078100
1038068233552
1115165586348
127464b83900
133788aa89ab
141bb1bd4d56
15ecc10191c
hex8dd0b2550

38068233552 has 400 divisors, whose sum is σ = 120689775360. Its totient is φ = 11537842176.

The previous prime is 38068233509. The next prime is 38068233571. The reversal of 38068233552 is 25533286083.

38068233552 is a `hidden beast` number, since 3 + 8 + 0 + 68 + 2 + 33 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38068233498 and 38068233507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 100443699 + ... + 100444077.

Almost surely, 238068233552 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 38068233552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60344887680).

38068233552 is an abundant number, since it is smaller than the sum of its proper divisors (82621541808).

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

38068233552 is a wasteful number, since it uses less digits than its factorization.

38068233552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 38068233552 in words is "thirty-eight billion, sixty-eight million, two hundred thirty-three thousand, five hundred fifty-two".