Search a number
-
+
38036086416 = 24321715537617
BaseRepresentation
bin100011011011001000…
…001001111010010000
310122011210121101112100
4203123020021322100
51110344214231131
625250141200400
72514366254136
oct433310117220
9118153541470
1038036086416
1115149419769
127456260100
133782231613
141bab827756
15ec93a17e6
hex8db209e90

38036086416 has 60 divisors (see below), whose sum is σ = 112709880972. Its totient is φ = 11932889088.

The previous prime is 38036086411. The next prime is 38036086421. The reversal of 38036086416 is 61468063083.

38036086416 is a `hidden beast` number, since 38 + 0 + 3 + 608 + 6 + 4 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38036086411) and next prime (38036086421).

It can be written as a sum of positive squares in 2 ways, for example, as 32335232400 + 5700854016 = 179820^2 + 75504^2 .

It is not an unprimeable number, because it can be changed into a prime (38036086411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7766361 + ... + 7771256.

Almost surely, 238036086416 is an apocalyptic number.

38036086416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38036086416 is an abundant number, since it is smaller than the sum of its proper divisors (74673794556).

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

38036086416 is a wasteful number, since it uses less digits than its factorization.

38036086416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15537648 (or 15537639 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38036086416 in words is "thirty-eight billion, thirty-six million, eighty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 15537617 31075234 46612851 62150468 93225702 124300936 139838553 186451404 248601872 264139489 279677106 372902808 528278978 559354212 745805616 792418467 1056557956 1118708424 1584836934 2113115912 2237416848 2377255401 3169673868 4226231824 4754510802 6339347736 9509021604 12678695472 19018043208 38036086416