Search a number
-
+
20212499564992 = 267457809122033
BaseRepresentation
bin1001001100010000101101…
…10110110100100111000000
32122120021222211212212211201
410212020112312310213000
510122130144342034432
6110553254421150544
74154206403355220
oct446102666644700
978507884785751
1020212499564992
11649308907a439
12232539925b454
13b380520c97c7
144dc40c43c080
15250b90859ee7
hex126216db49c0

20212499564992 has 112 divisors (see below), whose sum is σ = 45996528093120. Its totient is φ = 8632789696512.

The previous prime is 20212499564987. The next prime is 20212499565007. The reversal of 20212499564992 is 29946599421202.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165570408 + ... + 165692440.

Almost surely, 220212499564992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212499564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22998264046560).

20212499564992 is an abundant number, since it is smaller than the sum of its proper divisors (25784028528128).

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

20212499564992 is a wasteful number, since it uses less digits than its factorization.

20212499564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123318 (or 123308 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 20212499564992 in words is "twenty trillion, two hundred twelve billion, four hundred ninety-nine million, five hundred sixty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 457 809 914 1618 1828 3199 3236 3656 5663 6398 6472 7312 11326 12796 12944 14624 22652 25592 25888 29248 45304 51184 51776 90608 102368 122033 181216 204736 244066 362432 369713 488132 739426 854231 976264 1478852 1708462 1952528 2587991 2957704 3416924 3905056 5175982 5915408 6833848 7810112 10351964 11830816 13667696 20703928 23661632 27335392 41407856 54670784 55769081 82815712 98724697 111538162 165631424 197449394 223076324 390383567 394898788 446152648 691072879 780767134 789797576 892305296 1382145758 1561534268 1579595152 1784610592 2764291516 3123068536 3159190304 3569221184 5528583032 6246137072 6318380608 11057166064 12492274144 22114332128 24984548288 44228664256 45117186529 90234373058 180468746116 315820305703 360937492232 631640611406 721874984464 1263281222812 1443749968928 2526562445624 2887499937856 5053124891248 10106249782496 20212499564992