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38811163880106 = 23337107181542121
BaseRepresentation
bin10001101001100011011011…
…01000101110101010101010
312002102022101202000202211000
420310301231220232222222
520041340230423130411
6214313334052215430
711114004551543052
oct1064615550565252
9162368352022730
1038811163880106
11114037a4229382
124429a4430a576
131886b52b55c97
14982682920562
1547487a192956
hex234c6da2eaaa

38811163880106 has 64 divisors (see below), whose sum is σ = 89405864242560. Its totient is φ = 12469765138560.

The previous prime is 38811163880023. The next prime is 38811163880107. The reversal of 38811163880106 is 60108836111883.

38811163880106 is a `hidden beast` number, since 388 + 11 + 163 + 8 + 80 + 10 + 6 = 666.

38811163880106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×388111638801062 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (38811163880107) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 90557275 + ... + 90984846.

It is an arithmetic number, because the mean of its divisors is an integer number (1396966628790).

Almost surely, 238811163880106 is an apocalyptic number.

38811163880106 is an abundant number, since it is smaller than the sum of its proper divisors (50594700362454).

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

38811163880106 is a wasteful number, since it uses less digits than its factorization.

38811163880106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181542276 (or 181542270 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

Adding to 38811163880106 its reverse (60108836111883), we get a palindrome (98919999991989).

The spelling of 38811163880106 in words is "thirty-eight trillion, eight hundred eleven billion, one hundred sixty-three million, eight hundred eighty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 37 54 74 107 111 214 222 321 333 642 666 963 999 1926 1998 2889 3959 5778 7918 11877 23754 35631 71262 106893 213786 181542121 363084242 544626363 1089252726 1633879089 3267758178 4901637267 6717058477 9803274534 13434116954 19425006947 20151175431 38850013894 40302350862 58275020841 60453526293 116550041682 120907052586 174825062523 181360578879 349650125046 362721157758 524475187569 718725257039 1048950375138 1437450514078 2156175771117 4312351542234 6468527313351 12937054626702 19405581940053 38811163880106