Search a number
-
+
2241199785504 = 25344368297717
BaseRepresentation
bin100000100111010001111…
…010101100011000100000
321221020221001210111021010
4200213101322230120200
5243204434121114004
64433332025300520
7320631006565551
oct40472172543040
97836831714233
102241199785504
1179453a93a699
12302439334740
13133462383744
147a690614328
153d473430a89
hex209d1eac620

2241199785504 has 96 divisors (see below), whose sum is σ = 5898057318720. Its totient is φ = 745174490112.

The previous prime is 2241199785421. The next prime is 2241199785589. The reversal of 2241199785504 is 4055879911422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290419854 + ... + 290427570.

It is an arithmetic number, because the mean of its divisors is an integer number (61438097070).

Almost surely, 22241199785504 is an apocalyptic number.

2241199785504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2241199785504 is an abundant number, since it is smaller than the sum of its proper divisors (3656857533216).

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

2241199785504 is a wasteful number, since it uses less digits than its factorization.

2241199785504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15002 (or 14994 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 57.

The spelling of 2241199785504 in words is "two trillion, two hundred forty-one billion, one hundred ninety-nine million, seven hundred eighty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 443 886 1329 1772 2658 3544 5316 6829 7088 7717 10632 13658 14176 15434 20487 21264 23151 27316 30868 40974 42528 46302 54632 61736 81948 92604 109264 123472 163896 185208 218528 246944 327792 370416 655584 740832 3025247 3418631 6050494 6837262 9075741 10255893 12100988 13674524 18151482 20511786 24201976 27349048 36302964 41023572 48403952 52699393 54698096 72605928 82047144 96807904 105398786 109396192 145211856 158098179 164094288 210797572 290423712 316196358 328188576 421595144 632392716 843190288 1264785432 1686380576 2529570864 5059141728 23345831099 46691662198 70037493297 93383324396 140074986594 186766648792 280149973188 373533297584 560299946376 747066595168 1120599892752 2241199785504