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38782655648 = 25113114992371
BaseRepresentation
bin100100000111101000…
…000101110010100000
310201002211102000222122
4210013220011302200
51113411324440043
625452210523412
72542033063622
oct440750056240
9121084360878
1038782655648
11154a1886230
127624296568
133870ac7669
141c3ca44c12
15101ebc2368
hex907a05ca0

38782655648 has 96 divisors (see below), whose sum is σ = 86075136000. Its totient is φ = 17041248000.

The previous prime is 38782655573. The next prime is 38782655651. The reversal of 38782655648 is 84655628783.

It is a happy number.

It is a super-2 number, since 2×387826556482 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16355903 + ... + 16358273.

It is an arithmetic number, because the mean of its divisors is an integer number (896616000).

Almost surely, 238782655648 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 38782655648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43037568000).

38782655648 is an abundant number, since it is smaller than the sum of its proper divisors (47292480352).

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

38782655648 is a wasteful number, since it uses less digits than its factorization.

38782655648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3922 (or 3914 counting only the distinct ones).

The product of its digits is 77414400, while the sum is 62.

The spelling of 38782655648 in words is "thirty-eight billion, seven hundred eighty-two million, six hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 1499 2371 2728 2998 4742 5456 5996 9484 10912 11992 16489 18968 23984 26081 32978 37936 46469 47968 52162 65956 73501 75872 92938 104324 131912 147002 185876 208648 263824 294004 371752 417296 511159 527648 588008 743504 808511 834592 1022318 1176016 1487008 1617022 2044636 2352032 3234044 3554129 4089272 6468088 7108258 8178544 12936176 14216516 16357088 25872352 28433032 39095419 56866064 78190838 110177999 113732128 156381676 220355998 312763352 440711996 625526704 881423992 1211957989 1251053408 1762847984 2423915978 3525695968 4847831956 9695663912 19391327824 38782655648