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38786668784 = 2417314797871
BaseRepresentation
bin100100000111110111…
…011001100011110000
310201010002221220222022
4210013313121203300
51113413341400114
625452432531012
72542112150003
oct440767314360
9121102856868
1038786668784
11154a4077376
1276256b0a68
1338718a11b6
141c3d3ab53a
15102021648e
hex907dd98f0

38786668784 has 80 divisors (see below), whose sum is σ = 83884916736. Its totient is φ = 17287756800.

The previous prime is 38786668747. The next prime is 38786668793. The reversal of 38786668784 is 48786668783.

It is a happy number.

38786668784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347369 + ... + 445239.

Almost surely, 238786668784 is an apocalyptic number.

38786668784 is a gapful number since it is divisible by the number (34) 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 38786668784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41942458368).

38786668784 is an abundant number, since it is smaller than the sum of its proper divisors (45098247952).

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

38786668784 is a wasteful number, since it uses less digits than its factorization.

38786668784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97974 (or 97968 counting only the distinct ones).

The product of its digits is 520224768, while the sum is 71.

Subtracting 38786668784 from its reverse (48786668783), we obtain a palindrome (9999999999).

The spelling of 38786668784 in words is "thirty-eight billion, seven hundred eighty-six million, six hundred sixty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 31 34 47 62 68 94 124 136 188 248 272 376 496 527 752 799 1054 1457 1598 2108 2914 3196 4216 5828 6392 8432 11656 12784 23312 24769 49538 97871 99076 195742 198152 391484 396304 782968 1565936 1663807 3034001 3327614 4599937 6068002 6655228 9199874 12136004 13310456 18399748 24272008 26620912 36799496 48544016 51578017 73598992 78198929 103156034 142598047 156397858 206312068 285196094 312795716 412624136 570392188 625591432 825248272 1140784376 1251182864 2281568752 2424166799 4848333598 9696667196 19393334392 38786668784