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21072110328784 = 2429379129792387
BaseRepresentation
bin1001100101010001110111…
…01001101001101111010000
32202121110210121012011212201
410302220323221221233100
510230221140221010114
6112452221023132544
74303260352323424
oct462507351515720
982543717164781
1021072110328784
1167946a4a28279
122443abb144154
13b9b125c90178
1452bc77694b84
15268202115874
hex132a3ba69bd0

21072110328784 has 80 divisors (see below), whose sum is σ = 42379595121600. Its totient is φ = 10137969580032.

The previous prime is 21072110328779. The next prime is 21072110328803. The reversal of 21072110328784 is 48782301127012.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 228039039 + ... + 228131425.

It is an arithmetic number, because the mean of its divisors is an integer number (529744939020).

Almost surely, 221072110328784 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 21072110328784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189797560800).

21072110328784 is an abundant number, since it is smaller than the sum of its proper divisors (21307484792816).

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

21072110328784 is a wasteful number, since it uses less digits than its factorization.

21072110328784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94100 (or 94094 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 21072110328784 in words is "twenty-one trillion, seventy-two billion, one hundred ten million, three hundred twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 116 232 379 464 758 1297 1516 2594 3032 5188 6064 10376 10991 20752 21982 37613 43964 75226 87928 92387 150452 175856 184774 300904 369548 491563 601808 739096 983126 1478192 1966252 2679223 3932504 5358446 7865008 10716892 14255327 21433784 28510654 35014673 42867568 57021308 70029346 114042616 119825939 140058692 228085232 239651878 280117384 479303756 560234768 958607512 1015425517 1917215024 2030851034 3474952231 4061702068 6949904462 8123404136 13899808924 16246808272 27799617848 45414030881 55599235696 90828061762 181656123524 363312247048 726624494096 1317006895549 2634013791098 5268027582196 10536055164392 21072110328784