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38645269056 = 263281912
BaseRepresentation
bin100011111111011100…
…000000001001000000
310200202020220002000100
4203333130000021000
51113121142102211
625430422122400
72535444236622
oct437734001100
9120666802010
1038645269056
1115431279699
1275a6280400
13384b4c3a14
141c286c0c12
151012ad5156
hex8ff700240

38645269056 has 63 divisors (see below), whose sum is σ = 110783211123. Its totient is φ = 12880183680.

The previous prime is 38645269027. The next prime is 38645269081. The reversal of 38645269056 is 65096254683.

The square root of 38645269056 is 196584.

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

38645269056 is a `hidden beast` number, since 3 + 8 + 64 + 526 + 9 + 0 + 56 = 666.

It is a super-2 number, since 2×386452690562 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 38645268993 and 38645269011.

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, 4713921 + ... + 4722111.

Almost surely, 238645269056 is an apocalyptic number.

38645269056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38645269056 is the 196584-th square number.

It is an amenable number.

38645269056 is an abundant number, since it is smaller than the sum of its proper divisors (72137942067).

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

38645269056 is an frugal number, since it uses more digits than its factorization.

38645269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16400 (or 8196 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 38645269056 in words is "thirty-eight billion, six hundred forty-five million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 8191 16382 24573 32764 49146 65528 73719 98292 131056 147438 196584 262112 294876 393168 524224 589752 786336 1179504 1572672 2359008 4718016 67092481 134184962 201277443 268369924 402554886 536739848 603832329 805109772 1073479696 1207664658 1610219544 2146959392 2415329316 3220439088 4293918784 4830658632 6440878176 9661317264 12881756352 19322634528 38645269056