Search a number
-
+
2708136121446 = 2327107331360631
BaseRepresentation
bin100111011010001001011…
…111011101010001100110
3100120220011122220001010100
4213122021133131101212
5323332230321341241
65432033415404530
7366441065136210
oct47321137352146
910526148801110
102708136121446
1195457226a998
12378a31383746
131684b74c4252
14951085735b0
154a6a14bc9b6
hex276897dd466

2708136121446 has 96 divisors (see below), whose sum is σ = 6770687159808. Its totient is φ = 766277832960.

The previous prime is 2708136121373. The next prime is 2708136121477. The reversal of 2708136121446 is 6441216318072.

2708136121446 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 13 + 612 + 14 + 4 + 6 = 666.

It is a super-2 number, since 2×27081361214462 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44635551 + ... + 44696181.

It is an arithmetic number, because the mean of its divisors is an integer number (70527991248).

Almost surely, 22708136121446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2708136121446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385343579904).

2708136121446 is an abundant number, since it is smaller than the sum of its proper divisors (4062551038362).

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

2708136121446 is a wasteful number, since it uses less digits than its factorization.

2708136121446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64066 (or 64063 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2708136121446 in words is "two trillion, seven hundred eight billion, one hundred thirty-six million, one hundred twenty-one thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 3313 4494 6626 6741 9939 13482 19878 23191 29817 46382 59634 60631 69573 121262 139146 181893 208719 354491 363786 417438 424417 545679 708982 848834 1063473 1091358 1273251 2126946 2481437 2546502 3190419 3819753 4962874 6380838 6487517 7444311 7639506 12975034 14888622 19462551 22332933 38925102 44665866 45412619 58387653 90825238 116775306 136237857 200870503 272475714 401741006 408713571 602611509 817427142 1205223018 1406093521 1807834527 2812187042 3615669054 4218280563 8436561126 12654841689 21493143821 25309683378 42986287642 64479431463 128958862926 150452006747 193438294389 300904013494 386876588778 451356020241 902712040482 1354068060723 2708136121446