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2151304051104 = 253213915162791
BaseRepresentation
bin11111010011100011101…
…101101011100110100000
321121122220002010000122200
4133103203231223212200
5240221332314113404
64324143451533200
7311266214501415
oct37234355534640
97548802100580
102151304051104
1175a3aa06391a
122a8b2b45a200
13127b370396b0
14761a34d810c
153ae612ec839
hex1f4e3b6b9a0

2151304051104 has 144 divisors (see below), whose sum is σ = 6589193554944. Its totient is φ = 661856832000.

The previous prime is 2151304051103. The next prime is 2151304051217. The reversal of 2151304051104 is 4011504031512.

2151304051104 is a `hidden beast` number, since 2 + 1 + 513 + 0 + 40 + 5 + 1 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2151304051103) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 34229949 + ... + 34292739.

It is an arithmetic number, because the mean of its divisors is an integer number (45758288576).

Almost surely, 22151304051104 is an apocalyptic number.

2151304051104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151304051104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294596777472).

2151304051104 is an abundant number, since it is smaller than the sum of its proper divisors (4437889503840).

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

2151304051104 is a wasteful number, since it uses less digits than its factorization.

2151304051104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71971 (or 71960 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 2151304051104 its reverse (4011504031512), we get a palindrome (6162808082616).

The spelling of 2151304051104 in words is "two trillion, one hundred fifty-one billion, three hundred four million, fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 9151 18302 27453 36604 54906 62791 73208 82359 109812 118963 125582 146416 164718 188373 219624 237926 251164 292832 329436 356889 376746 439248 475852 502328 565119 658872 713778 753492 816283 878496 951704 1004656 1070667 1130238 1317744 1427556 1506984 1632566 1903408 2009312 2141334 2260476 2448849 2635488 2855112 3013968 3265132 3806816 4282668 4520952 4897698 5710224 6027936 6530264 7346547 8565336 9041904 9795396 11420448 13060528 14693094 17130672 18083808 19590792 26121056 29386188 34261344 39181584 58772376 78363168 117544752 235089504 574600441 1149200882 1723801323 2298401764 3447602646 4596803528 5171403969 6895205292 7469805733 9193607056 10342807938 13790410584 14939611466 18387214112 20685615876 22409417199 27580821168 29879222932 41371231752 44818834398 55161642336 59758445864 67228251597 82742463504 89637668796 119516891728 134456503194 165484927008 179275337592 239033783456 268913006388 358550675184 537826012776 717101350368 1075652025552 2151304051104