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38689316416 = 2623210692
BaseRepresentation
bin100100000010000100…
…000001111001000000
310200212022202220122001
4210002010001321000
51113213431111131
625435034153344
72536520522602
oct440204017100
9120768686561
1038689316416
1115454124073
1275b8b82854
13385767684a
141c304a9172
1510168d6261
hex902101e40

38689316416 has 63 divisors (see below), whose sum is σ = 80332394961. Its totient is φ = 18486276864.

The previous prime is 38689316401. The next prime is 38689316423. The reversal of 38689316416 is 61461398683.

The square root of 38689316416 is 196696.

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

It can be written as a sum of positive squares in only one way, i.e., 18091326016 + 20597990400 = 134504^2 + 143520^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 36191530 + ... + 36192598.

Almost surely, 238689316416 is an apocalyptic number.

38689316416 is the 196696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38689316416

38689316416 is an abundant number, since it is smaller than the sum of its proper divisors (41643078545).

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

38689316416 is an frugal number, since it uses more digits than its factorization.

38689316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2196 (or 1094 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The spelling of 38689316416 in words is "thirty-eight billion, six hundred eighty-nine million, three hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1069 1472 2116 2138 4232 4276 8464 8552 16928 17104 24587 33856 34208 49174 68416 98348 196696 393392 565501 786784 1131002 1142761 1573568 2262004 2285522 4524008 4571044 9048016 9142088 18096032 18284176 26283503 36192064 36568352 52567006 73136704 105134012 210268024 420536048 604520569 841072096 1209041138 1682144192 2418082276 4836164552 9672329104 19344658208 38689316416