Search a number
-
+
38740014820032 = 263929872169883
BaseRepresentation
bin10001100111011110111001…
…10100100110101011000000
312002011111202020112000211220
420303233130310212223000
520034204022243220112
6214220530033035040
711105605452526041
oct1063573464465300
9162144666460756
1038740014820032
1111386603463489
1244180a86b5a80
131880224641336
1497d0534788c8
15472ab3c5998c
hex233bdcd26ac0

38740014820032 has 56 divisors (see below), whose sum is σ = 102500772083136. Its totient is φ = 12913193449728.

The previous prime is 38740014820007. The next prime is 38740014820123. The reversal of 38740014820032 is 23002841004783.

It is a happy number.

38740014820032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16768563 + ... + 18938445.

It is an arithmetic number, because the mean of its divisors is an integer number (1830370930056).

Almost surely, 238740014820032 is an apocalyptic number.

38740014820032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38740014820032 is an abundant number, since it is smaller than the sum of its proper divisors (63760757263104).

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

38740014820032 is a wasteful number, since it uses less digits than its factorization.

38740014820032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262885 (or 2262875 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 38740014820032 in words is "thirty-eight trillion, seven hundred forty billion, fourteen million, eight hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 92987 185974 278961 371948 557922 743896 1115844 1487792 2169883 2231688 2975584 4339766 4463376 5951168 6509649 8679532 8926752 13019298 17359064 17853504 26038596 34718128 52077192 69436256 104154384 138872512 208308768 416617536 201770910521 403541821042 605312731563 807083642084 1210625463126 1614167284168 2421250926252 3228334568336 4842501852504 6456669136672 9685003705008 12913338273344 19370007410016 38740014820032