Search a number
-
+
105503069376 = 263361055017
BaseRepresentation
bin110001001000001111…
…0010001010011000000
3101002022200122020021000
41202100132101103000
53212032241210001
6120244544532000
710423315202355
oct1422036212300
9332280566230
10105503069376
114081a806621
1218544921000
139c44959503
14516bc7662c
152b27413a86
hex18907914c0

105503069376 has 56 divisors (see below), whose sum is σ = 310159491440. Its totient is φ = 35167689216.

The previous prime is 105503069363. The next prime is 105503069377. The reversal of 105503069376 is 673960305501.

105503069376 is a `hidden beast` number, since 1 + 0 + 550 + 3 + 0 + 6 + 93 + 7 + 6 = 666.

It is a super-2 number, since 2×1055030693762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105503069377) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 30525781 + ... + 30529236.

Almost surely, 2105503069376 is an apocalyptic number.

105503069376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105503069376 is an abundant number, since it is smaller than the sum of its proper divisors (204656422064).

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

105503069376 is an equidigital number, since it uses as much as digits as its factorization.

105503069376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61055038 (or 61055022 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 105503069376 in words is "one hundred five billion, five hundred three million, sixty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 61055017 122110034 183165051 244220068 366330102 488440136 549495153 732660204 976880272 1098990306 1465320408 1648485459 1953760544 2197980612 2930640816 3296970918 3907521088 4395961224 5861281632 6593941836 8791922448 11722563264 13187883672 17583844896 26375767344 35167689792 52751534688 105503069376