Search a number
-
+
6243921804672 = 27337332464789
BaseRepresentation
bin101101011011100011010…
…1111011011110110000000
3211002220122122110002112000
41122313012233123312000
51304300022440222142
621140230145504000
71213052126433636
oct132670657336600
924086578402460
106243921804672
111a9803a097582
1284a144942000
13363a510a50b6
141782c9279356
15ac64337014c
hex5adc6bdbd80

6243921804672 has 128 divisors (see below), whose sum is σ = 18453389772000. Its totient is φ = 2078466988032.

The previous prime is 6243921804641. The next prime is 6243921804689. The reversal of 6243921804672 is 2764081293426.

It is a happy number.

6243921804672 is a `hidden beast` number, since 6 + 2 + 4 + 392 + 180 + 4 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1300854 + ... + 3765642.

Almost surely, 26243921804672 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 6243921804672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9226694886000).

6243921804672 is an abundant number, since it is smaller than the sum of its proper divisors (12209467967328).

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

6243921804672 is a wasteful number, since it uses less digits than its factorization.

6243921804672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465545 (or 2465527 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 6243921804672 in words is "six trillion, two hundred forty-three billion, nine hundred twenty-one million, eight hundred four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 733 864 1152 1466 1728 2199 2932 3456 4398 5864 6597 8796 11728 13194 17592 19791 23456 26388 35184 39582 46912 52776 70368 79164 93824 105552 140736 158328 211104 281472 316656 422208 633312 844416 1266624 2464789 2533248 4929578 7394367 9859156 14788734 19718312 22183101 29577468 39436624 44366202 59154936 66549303 78873248 88732404 118309872 133098606 157746496 177464808 236619744 266197212 315492992 354929616 473239488 532394424 709859232 946478976 1064788848 1419718464 1806690337 2129577696 2839436928 3613380674 4259155392 5420071011 7226761348 8518310784 10840142022 14453522696 16260213033 21680284044 28907045392 32520426066 43360568088 48780639099 57814090784 65040852132 86721136176 97561278198 115628181568 130081704264 173442272352 195122556396 231256363136 260163408528 346884544704 390245112792 520326817056 693769089408 780490225584 1040653634112 1560980451168 2081307268224 3121960902336 6243921804672