Search a number
-
+
21036544056 = 233211217142039
BaseRepresentation
bin10011100101111000…
…000011000000111000
32000022001222011101100
4103211320003000320
5321040323402211
613355234051400
71343206450143
oct234570030070
960261864340
1021036544056
118a15642a00
1240b1119b60
131ca336b608
141037c2705a
15831c6a156
hex4e5e03038

21036544056 has 144 divisors (see below), whose sum is σ = 66308533200. Its totient is φ = 5999685120.

The previous prime is 21036543953. The next prime is 21036544057. The reversal of 21036544056 is 65044563012.

21036544056 is a `hidden beast` number, since 2 + 103 + 6 + 544 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×210365440562 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 21036544056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21036544057) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77085 + ... + 219123.

It is an arithmetic number, because the mean of its divisors is an integer number (460475925).

Almost surely, 221036544056 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 21036544056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33154266600).

21036544056 is an abundant number, since it is smaller than the sum of its proper divisors (45271989144).

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

21036544056 is a wasteful number, since it uses less digits than its factorization.

21036544056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142090 (or 142072 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 21036544056 in words is "twenty-one billion, thirty-six million, five hundred forty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 33 34 36 44 51 66 68 72 88 99 102 121 132 136 153 187 198 204 242 264 306 363 374 396 408 484 561 612 726 748 792 968 1089 1122 1224 1452 1496 1683 2057 2178 2244 2904 3366 4114 4356 4488 6171 6732 8228 8712 12342 13464 16456 18513 24684 37026 49368 74052 142039 148104 284078 426117 568156 852234 1136312 1278351 1562429 1704468 2414663 2556702 3124858 3408936 4687287 4829326 5113404 6249716 7243989 9374574 9658652 10226808 12499432 14061861 14487978 17186719 18749148 19317304 21731967 26561293 28123722 28975956 34373438 37498296 43463934 51560157 53122586 56247444 57951912 68746876 79683879 86927868 103120314 106245172 112494888 137493752 154680471 159367758 173855736 206240628 212490344 239051637 292174223 309360942 318735516 412481256 478103274 584348446 618721884 637471032 876522669 956206548 1168696892 1237443768 1753045338 1912413096 2337393784 2629568007 3506090676 5259136014 7012181352 10518272028 21036544056