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6211997952 = 28361971367
BaseRepresentation
bin1011100100100001…
…11001000100000000
3121000220222012012020
411302100321010000
5100210232413302
62504224401440
7306640053126
oct56220710400
917026865166
106211997952
1126a8569006
121254476280
1377cc94144
1442d035916
15265561ebc
hex172439100

6211997952 has 144 divisors (see below), whose sum is σ = 16989662592. Its totient is φ = 2014248960.

The previous prime is 6211997951. The next prime is 6211997989. The reversal of 6211997952 is 2597991126.

It is a junction number, because it is equal to n+sod(n) for n = 6211997895 and 6211997904.

It is not an unprimeable number, because it can be changed into a prime (6211997951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4543573 + ... + 4544939.

It is an arithmetic number, because the mean of its divisors is an integer number (117983768).

Almost surely, 26211997952 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 6211997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8494831296).

6211997952 is an abundant number, since it is smaller than the sum of its proper divisors (10777664640).

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

6211997952 is a wasteful number, since it uses less digits than its factorization.

6211997952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1530 counting only the distinct ones).

The product of its digits is 612360, while the sum is 51.

The square root of 6211997952 is about 78816.2289887051. The cubic root of 6211997952 is about 1838.2748038703.

The spelling of 6211997952 in words is "six billion, two hundred eleven million, nine hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 97 122 128 183 192 194 244 256 291 366 384 388 488 582 732 768 776 976 1164 1367 1464 1552 1952 2328 2734 2928 3104 3904 4101 4656 5468 5856 5917 6208 7808 8202 9312 10936 11712 11834 12416 15616 16404 17751 18624 21872 23424 23668 24832 32808 35502 37248 43744 46848 47336 65616 71004 74496 83387 87488 94672 131232 132599 142008 166774 174976 189344 250161 262464 265198 284016 333548 349952 378688 397797 500322 524928 530396 568032 667096 757376 795594 1000644 1049856 1060792 1136064 1334192 1514752 1591188 2001288 2121584 2272128 2668384 3182376 4002576 4243168 4544256 5336768 6364752 8005152 8088539 8486336 10673536 12729504 16010304 16177078 16972672 21347072 24265617 25459008 32020608 32354156 33945344 48531234 50918016 64041216 64708312 97062468 101836032 129416624 194124936 258833248 388249872 517666496 776499744 1035332992 1552999488 2070665984 3105998976 6211997952