Search a number
-
+
2705035379172 = 2237114712807323
BaseRepresentation
bin100111010111010000101…
…011000100000111100100
3100120121011120022000100220
4213113100223010013210
5323304403024113142
65430402012004340
7366301204230240
oct47272053040744
910517146260326
102705035379172
11953220a51375
12378306a606b0
13168111c993c9
1494cd2825420
154a56e1792ec
hex275d0ac41e4

2705035379172 has 48 divisors (see below), whose sum is σ = 7214059087872. Its totient is φ = 772799600160.

The previous prime is 2705035379161. The next prime is 2705035379197. The reversal of 2705035379172 is 2719735305072.

It is a super-2 number, since 2×27050353791722 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440098 + ... + 2367225.

It is an arithmetic number, because the mean of its divisors is an integer number (150292897664).

Almost surely, 22705035379172 is an apocalyptic number.

It is an amenable number.

2705035379172 is an abundant number, since it is smaller than the sum of its proper divisors (4509023708700).

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

2705035379172 is a wasteful number, since it uses less digits than its factorization.

2705035379172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2818808 (or 2818806 counting only the distinct ones).

The product of its (nonzero) digits is 2778300, while the sum is 51.

The spelling of 2705035379172 in words is "two trillion, seven hundred five billion, thirty-five million, three hundred seventy-nine thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11471 22942 34413 45884 68826 80297 137652 160594 240891 321188 481782 963564 2807323 5614646 8421969 11229292 16843938 19651261 33687876 39302522 58953783 78605044 117907566 235815132 32202802133 64405604266 96608406399 128811208532 193216812798 225419614931 386433625596 450839229862 676258844793 901678459724 1352517689586 2705035379172