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38093676432 = 24372173173421
BaseRepresentation
bin100011011110100011…
…110101111110010000
310122022210222021011220
4203132203311332100
51111003440121212
625255555405040
72515665623100
oct433643657620
9118283867156
1038093676432
1115178983a19
1274715b3780
133791146656
141bb5339200
15ece47a38c
hex8de8f5f90

38093676432 has 480 divisors, whose sum is σ = 127134434304. Its totient is φ = 9754214400.

The previous prime is 38093676409. The next prime is 38093676433. The reversal of 38093676432 is 23467639083.

It is a happy number.

It is a super-2 number, since 2×380936764322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (38093676433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90483582 + ... + 90484002.

Almost surely, 238093676432 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 38093676432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63567217152).

38093676432 is an abundant number, since it is smaller than the sum of its proper divisors (89040757872).

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

38093676432 is a wasteful number, since it uses less digits than its factorization.

38093676432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 51.

The spelling of 38093676432 in words is "thirty-eight billion, ninety-three million, six hundred seventy-six thousand, four hundred thirty-two".