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39669848064 = 2113372114
BaseRepresentation
bin100100111100100000…
…011101100000000000
310210101122211002012000
4210330200131200000
51122220440114224
630120222304000
72603025100500
oct447440354000
9123348732160
1039669848064
1115907660000
127831428000
1339828585a2
141cc47c9a00
151072a1e0c9
hex93c81d800

39669848064 has 720 divisors, whose sum is σ = 150365943000. Its totient is φ = 10303856640.

The previous prime is 39669848033. The next prime is 39669848081. The reversal of 39669848064 is 46084896693.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

39669848064 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 98 + 480 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 39669847992 and 39669848010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3606349819 + ... + 3606349829.

Almost surely, 239669848064 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 39669848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75182971500).

39669848064 is an abundant number, since it is smaller than the sum of its proper divisors (110696094936).

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

39669848064 is an frugal number, since it uses more digits than its factorization.

39669848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 39669848064 in words is "thirty-nine billion, six hundred sixty-nine million, eight hundred forty-eight thousand, sixty-four".