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38065904128 = 29794111287
BaseRepresentation
bin100011011100111001…
…111001101000000000
310122020212201021202001
4203130321321220000
51110424332413003
625253124233344
72515210563220
oct433471715000
9118225637661
1038065904128
11151642351aa
12746423b854
133788471635
141bb178a080
15ecbce161d
hex8dce79a00

38065904128 has 80 divisors (see below), whose sum is σ = 87022894464. Its totient is φ = 16295178240.

The previous prime is 38065904113. The next prime is 38065904143. The reversal of 38065904128 is 82140956083.

It is an interprime number because it is at equal distance from previous prime (38065904113) and next prime (38065904143).

It is a super-3 number, since 3×380659041283 (a number of 33 digits) contains 333 as substring.

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, 3366901 + ... + 3378187.

Almost surely, 238065904128 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 38065904128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43511447232).

38065904128 is an abundant number, since it is smaller than the sum of its proper divisors (48956990336).

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

38065904128 is an equidigital number, since it uses as much as digits as its factorization.

38065904128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12253 (or 12237 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 38065904128 in words is "thirty-eight billion, sixty-five million, nine hundred four thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 941 1792 1882 3584 3764 6587 7528 11287 13174 15056 22574 26348 30112 45148 52696 60224 79009 90296 105392 120448 158018 180592 210784 240896 316036 361184 421568 481792 632072 722368 843136 1264144 1444736 1686272 2528288 2889472 3372544 5056576 5778944 10113152 10621067 20226304 21242134 40452608 42484268 74347469 84968536 148694938 169937072 297389876 339874144 594779752 679748288 1189559504 1359496576 2379119008 2718993152 4758238016 5437986304 9516476032 19032952064 38065904128