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38732488704 = 2133271323251
BaseRepresentation
bin100100000100101000…
…101110000000000000
310200222100000021212200
4210010220232000000
51113311004114304
625443215353200
72540553502410
oct440450560000
9120870007780
1038732488704
1115476531048
12760b522800
1338635b1290
141c36106640
15101a5b2e39
hex904a2e000

38732488704 has 672 divisors, whose sum is σ = 144266863104. Its totient is φ = 9732096000.

The previous prime is 38732488661. The next prime is 38732488723. The reversal of 38732488704 is 40788423783.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154312579 + ... + 154312829.

It is an arithmetic number, because the mean of its divisors is an integer number (214682832).

Almost surely, 238732488704 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 38732488704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72133431552).

38732488704 is an abundant number, since it is smaller than the sum of its proper divisors (105534374400).

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

38732488704 is a wasteful number, since it uses less digits than its factorization.

38732488704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 38732488704 in words is "thirty-eight billion, seven hundred thirty-two million, four hundred eighty-eight thousand, seven hundred four".