Search a number
-
+
105156063504255 = 35191118273103381
BaseRepresentation
bin10111111010001110001101…
…110011111010011101111111
3111210022211011212110002201010
4113322032031303322131333
5102240334104224114010
61011352010105450303
731102163165614551
oct2772161563723577
9453284155402633
10105156063504255
1130562488487325
12b963b48aa0993
13468a235a5b3aa
141bd781b3694d1
15c2553d09e620
hex5fa38dcfa77f

105156063504255 has 32 divisors (see below), whose sum is σ = 169144944979968. Its totient is φ = 55784869257600.

The previous prime is 105156063504209. The next prime is 105156063504257. The reversal of 105156063504255 is 552405360651501.

It is not a de Polignac number, because 105156063504255 - 225 = 105156029949823 is a prime.

It is a super-2 number, since 2×1051560635042552 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105156063504257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32332665 + ... + 35436045.

It is an arithmetic number, because the mean of its divisors is an integer number (5285779530624).

Almost surely, 2105156063504255 is an apocalyptic number.

105156063504255 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105156063504255 is a deficient number, since it is larger than the sum of its proper divisors (63988881475713).

105156063504255 is a wasteful number, since it uses less digits than its factorization.

105156063504255 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3115407.

The product of its (nonzero) digits is 2700000, while the sum is 48.

The spelling of 105156063504255 in words is "one hundred five trillion, one hundred fifty-six billion, sixty-three million, five hundred four thousand, two hundred fifty-five".

Divisors: 1 3 5 15 191 573 955 2865 11827 35481 59135 177405 2258957 3103381 6776871 9310143 11294785 15516905 33884355 46550715 592745771 1778237313 2963728855 8891186565 36703687087 110111061261 183518435435 550555306305 7010404233617 21031212700851 35052021168085 105156063504255