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21347859808 = 2511374338119
BaseRepresentation
bin10011111000011011…
…100111110101100000
32001002202202122022101
4103320123213311200
5322210023003213
613450154420144
71354006546222
oct237033476540
961082678271
1021347859808
119065346050
124179431654
1320229cbb12
141067304412
1584e261bdd
hex4f86e7d60

21347859808 has 96 divisors (see below), whose sum is σ = 48184899840. Its totient is φ = 9221506560.

The previous prime is 21347859761. The next prime is 21347859817. The reversal of 21347859808 is 80895874312.

It is a super-2 number, since 2×213478598082 (a number of 21 digits) contains 22 as substring.

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, 540973 + ... + 579091.

It is an arithmetic number, because the mean of its divisors is an integer number (501926040).

Almost surely, 221347859808 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 21347859808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24092449920).

21347859808 is an abundant number, since it is smaller than the sum of its proper divisors (26837040032).

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

21347859808 is a wasteful number, since it uses less digits than its factorization.

21347859808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38220 (or 38212 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 21347859808 in words is "twenty-one billion, three hundred forty-seven million, eight hundred fifty-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 11 16 22 32 37 43 44 74 86 88 148 172 176 296 344 352 407 473 592 688 814 946 1184 1376 1591 1628 1892 3182 3256 3784 6364 6512 7568 12728 13024 15136 17501 25456 35002 38119 50912 70004 76238 140008 152476 280016 304952 419309 560032 609904 838618 1219808 1410403 1639117 1677236 2820806 3278234 3354472 5641612 6556468 6708944 11283224 13112936 13417888 15514433 18030287 22566448 26225872 31028866 36060574 45132896 52451744 60647329 62057732 72121148 121294658 124115464 144242296 242589316 248230928 288484592 485178632 496461856 576969184 667120619 970357264 1334241238 1940714528 2668482476 5336964952 10673929904 21347859808