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21152266225112 = 23113115315064509
BaseRepresentation
bin1001100111100111001010…
…10100001000010111011000
32202220010200210122121102202
410303303211110020113120
510233024320123200422
6112553114510145332
74312125606233321
oct463634524102730
982803623577382
1021152266225112
1168156979335a0
12245754b1b2248
13ba585b4a9919
14531abd011448
1526a34412ab92
hex133ce55085d8

21152266225112 has 64 divisors (see below), whose sum is σ = 44690856883200. Its totient is φ = 9298436688000.

The previous prime is 21152266225073. The next prime is 21152266225171.

21152266225112 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1644314 + ... + 6708822.

It is an arithmetic number, because the mean of its divisors is an integer number (698294638800).

Almost surely, 221152266225112 is an apocalyptic number.

21152266225112 is a gapful number since it is divisible by the number (22) 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 21152266225112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22345428441600).

21152266225112 is an abundant number, since it is smaller than the sum of its proper divisors (23538590658088).

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

21152266225112 is a wasteful number, since it uses less digits than its factorization.

21152266225112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5066088 (or 5066084 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The spelling of 21152266225112 in words is "twenty-one trillion, one hundred fifty-two billion, two hundred sixty-six million, two hundred twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 1364 1531 2728 3062 6124 12248 16841 33682 47461 67364 94922 134728 189844 379688 522071 1044142 2088284 4176568 5064509 10129018 20258036 40516072 55709599 111419198 156999779 222838396 313999558 445676792 627999116 1255998232 1726997569 3453995138 6907990276 7753763279 13815980552 15507526558 31015053116 62030106232 85291396069 170582792138 240366661649 341165584276 480733323298 682331168552 961466646596 1922933293192 2644033278139 5288066556278 10576133112556 21152266225112