Search a number
-
+
105030576256 = 27820551377
BaseRepresentation
bin110000111010001001…
…1110110100010000000
3101001002202120002112211
41201310103312202000
53210100311420011
6120130025431504
710405520111404
oct1416423664200
9331082502484
10105030576256
11405a8027541
121843263b594
139b9aab5698
145125201104
152aeabd0b21
hex18744f6880

105030576256 has 16 divisors (see below), whose sum is σ = 209240601390. Its totient is φ = 52515288064.

The previous prime is 105030576229. The next prime is 105030576257. The reversal of 105030576256 is 652675030501.

It can be written as a sum of positive squares in only one way, i.e., 55828238400 + 49202337856 = 236280^2 + 221816^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×1050305762562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105030576257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 410275561 + ... + 410275816.

Almost surely, 2105030576256 is an apocalyptic number.

105030576256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105030576256 is a deficient number, since it is larger than the sum of its proper divisors (104210025134).

105030576256 is an frugal number, since it uses more digits than its factorization.

105030576256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820551391 (or 820551379 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 105030576256 in words is "one hundred five billion, thirty million, five hundred seventy-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 820551377 1641102754 3282205508 6564411016 13128822032 26257644064 52515288128 105030576256