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38690842624 = 21173797121
BaseRepresentation
bin100100000010001001…
…110110100000000000
310200212102122110012021
4210002021312200000
51113214323430444
625435131011224
72536536510310
oct440211664000
9120772573167
1038690842624
1115454a767a5
1275b9599b14
133857a8c425
141c30785440
151016ad8584
hex902276800

38690842624 has 96 divisors (see below), whose sum is σ = 88660353600. Its totient is φ = 16535715840.

The previous prime is 38690842601. The next prime is 38690842637. The reversal of 38690842624 is 42624809683.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5429784 + ... + 5436904.

It is an arithmetic number, because the mean of its divisors is an integer number (923545350).

Almost surely, 238690842624 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 38690842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44330176800).

38690842624 is an abundant number, since it is smaller than the sum of its proper divisors (49969510976).

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

38690842624 is an equidigital number, since it uses as much as digits as its factorization.

38690842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7529 (or 7509 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 38690842624 in words is "thirty-eight billion, six hundred ninety million, eight hundred forty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 379 448 512 758 896 1024 1516 1792 2048 2653 3032 3584 5306 6064 7121 7168 10612 12128 14242 14336 21224 24256 28484 42448 48512 49847 56968 84896 97024 99694 113936 169792 194048 199388 227872 339584 388096 398776 455744 679168 776192 797552 911488 1358336 1595104 1822976 2698859 2716672 3190208 3645952 5397718 5433344 6380416 7291904 10795436 12760832 14583808 18892013 21590872 25521664 37784026 43181744 51043328 75568052 86363488 102086656 151136104 172726976 302272208 345453952 604544416 690907904 1209088832 1381815808 2418177664 2763631616 4836355328 5527263232 9672710656 19345421312 38690842624