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38386158336 = 28337277639
BaseRepresentation
bin100011101111111111…
…100100101100000000
310200002012022212221000
4203233333210230000
51112103324031321
625345004332000
72526146651031
oct435777445400
9120065285830
1038386158336
1115308a929a9
127533544000
133809911476
141c02112a88
15ee9ea1826
hex8effe4b00

38386158336 has 144 divisors (see below), whose sum is σ = 113685644800. Its totient is φ = 12776113152.

The previous prime is 38386158311. The next prime is 38386158359. The reversal of 38386158336 is 63385168383.

It is a happy number.

38386158336 is a `hidden beast` number, since 3 + 83 + 86 + 158 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5021205 + ... + 5028843.

Almost surely, 238386158336 is an apocalyptic number.

38386158336 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38386158336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56842822400).

38386158336 is an abundant number, since it is smaller than the sum of its proper divisors (75299486464).

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

38386158336 is an equidigital number, since it uses as much as digits as its factorization.

38386158336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8391 (or 8371 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 38386158336 in words is "thirty-eight billion, three hundred eighty-six million, one hundred fifty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 727 768 864 1152 1454 1728 2181 2304 2908 3456 4362 5816 6543 6912 7639 8724 11632 13086 15278 17448 19629 22917 23264 26172 30556 34896 39258 45834 46528 52344 61112 68751 69792 78516 91668 93056 104688 122224 137502 139584 157032 183336 186112 206253 209376 244448 275004 279168 314064 366672 412506 418752 488896 550008 558336 628128 733344 825012 837504 977792 1100016 1256256 1466688 1650024 1675008 1955584 2200032 2512512 2933376 3300048 4400064 5025024 5553553 5866752 6600096 8800128 11107106 13200192 16660659 17600256 22214212 26400384 33321318 44428424 49981977 52800768 66642636 88856848 99963954 133285272 149945931 177713696 199927908 266570544 299891862 355427392 399855816 533141088 599783724 710854784 799711632 1066282176 1199567448 1421709568 1599423264 2132564352 2399134896 3198846528 4265128704 4798269792 6397693056 9596539584 12795386112 19193079168 38386158336