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38043722304 = 263872432
BaseRepresentation
bin100011011011100101…
…010010001001000000
310122012022222100000000
4203123211102021000
51110403143103204
625251013000000
72514521206200
oct433345221100
9118168870000
1038043722304
1115152764715
127458923000
1337839a60b3
141bac854400
15ec9dae039
hex8db952240

38043722304 has 567 divisors, whose sum is σ = 134855425107. Its totient is φ = 10616852736.

The previous prime is 38043722273. The next prime is 38043722333. The reversal of 38043722304 is 40322734083.

The square root of 38043722304 is 195048.

It is a perfect power (a square), and thus also a powerful number.

38043722304 is a `hidden beast` number, since 380 + 43 + 7 + 2 + 230 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (567).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 884737707 + ... + 884737749.

Almost surely, 238043722304 is an apocalyptic number.

38043722304 is the 195048-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38043722304

38043722304 is an abundant number, since it is smaller than the sum of its proper divisors (96811702803).

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

38043722304 is an frugal number, since it uses more digits than its factorization.

38043722304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Multiplying 38043722304 by its sum of digits (36), we get a square (1369574002944 = 11702882).

38043722304 divided by its sum of digits (36) gives a square (1056770064 = 325082).

The spelling of 38043722304 in words is "thirty-eight billion, forty-three million, seven hundred twenty-two thousand, three hundred four".