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38402602368 = 2731343178903
BaseRepresentation
bin100011110000111110…
…010011010110000000
310200010100021022220020
4203300332103112000
51112122031233433
625350353013440
72526436506564
oct436076232600
9120110238806
1038402602368
11153172a4609
127538b54280
13381014b170
141c043936a4
15eeb64dcb3
hex8f0f93580

38402602368 has 128 divisors (see below), whose sum is σ = 112408961280. Its totient is φ = 11541325824.

The previous prime is 38402602361. The next prime is 38402602417. The reversal of 38402602368 is 86320620483.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38402602361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125205 + ... + 304107.

It is an arithmetic number, because the mean of its divisors is an integer number (878195010).

Almost surely, 238402602368 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 38402602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56204480640).

38402602368 is an abundant number, since it is smaller than the sum of its proper divisors (74006358912).

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

38402602368 is a wasteful number, since it uses less digits than its factorization.

38402602368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178976 (or 178964 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 38402602368 in words is "thirty-eight billion, four hundred two million, six hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 258 312 344 384 416 516 559 624 688 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3354 4128 4472 4992 5504 6708 8256 8944 13416 16512 17888 26832 35776 53664 71552 107328 178903 214656 357806 536709 715612 1073418 1431224 2146836 2325739 2862448 4293672 4651478 5724896 6977217 7692829 8587344 9302956 11449792 13954434 15385658 17174688 18605912 22899584 23078487 27908868 30771316 34349376 37211824 46156974 55817736 61542632 68698752 74423648 92313948 100006777 111635472 123085264 148847296 184627896 200013554 223270944 246170528 297694592 300020331 369255792 400027108 446541888 492341056 600040662 738511584 800054216 893083776 984682112 1200081324 1477023168 1600108432 2400162648 2954046336 3200216864 4800325296 6400433728 9600650592 12800867456 19201301184 38402602368