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2199486849912 = 2332112252466351
BaseRepresentation
bin100000000000011011101…
…000011110001101111000
321210021021000112210212200
4200000123220132031320
5242014022113144122
64402232540310200
7314623222515462
oct40003350361570
97707230483780
102199486849912
11778884a93800
122b6337842360
1312c545475b31
1478654755132
153c33138c5ac
hex2001ba1e378

2199486849912 has 72 divisors (see below), whose sum is σ = 6547714839120. Its totient is φ = 666511164000.

The previous prime is 2199486849899. The next prime is 2199486849949.

2199486849912 is a `hidden beast` number, since 2 + 1 + 99 + 48 + 6 + 8 + 499 + 1 + 2 = 666.

2199486849912 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 126224464 + ... + 126241887.

Almost surely, 22199486849912 is an apocalyptic number.

2199486849912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2199486849912 is an abundant number, since it is smaller than the sum of its proper divisors (4348227989208).

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

2199486849912 is a wasteful number, since it uses less digits than its factorization.

2199486849912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252466385 (or 252466367 counting only the distinct ones).

The product of its digits is 161243136, while the sum is 72.

The spelling of 2199486849912 in words is "two trillion, one hundred ninety-nine billion, four hundred eighty-six million, eight hundred forty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 252466351 504932702 757399053 1009865404 1514798106 2019730808 2272197159 2777129861 3029596212 4544394318 5554259722 6059192424 8331389583 9088788636 11108519444 16662779166 18177577272 22217038888 24994168749 30548428471 33325558332 49988337498 61096856942 66651116664 91645285413 99976674996 122193713884 183290570826 199953349992 244387427768 274935856239 366581141652 549871712478 733162283304 1099743424956 2199486849912