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6242121808 = 2413231113659
BaseRepresentation
bin1011101000000111…
…10011100001010000
3121010000122122100121
411310003303201100
5100240440344213
62511222200024
7310454105566
oct56403634120
917100578317
106242121808
11271357355a
121262583014
137862b0600
14433037a36
1526801288d
hex1740f3850

6242121808 has 120 divisors (see below), whose sum is σ = 13658768640. Its totient is φ = 2759178240.

The previous prime is 6242121779. The next prime is 6242121827. The reversal of 6242121808 is 8081212426.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9471783 + ... + 9472441.

It is an arithmetic number, because the mean of its divisors is an integer number (113823072).

Almost surely, 26242121808 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 6242121808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6829384320).

6242121808 is an abundant number, since it is smaller than the sum of its proper divisors (7416646832).

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

6242121808 is a wasteful number, since it uses less digits than its factorization.

6242121808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 6242121808 is about 79007.0997316064. The cubic root of 6242121808 is about 1841.2414636978.

The spelling of 6242121808 in words is "six billion, two hundred forty-two million, one hundred twenty-one thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 113 124 169 208 226 248 338 403 452 496 659 676 806 904 1318 1352 1469 1612 1808 2636 2704 2938 3224 3503 5239 5272 5876 6448 7006 8567 10478 10544 11752 14012 17134 19097 20429 20956 23504 28024 34268 38194 40858 41912 45539 56048 68536 74467 76388 81716 83824 91078 111371 137072 148934 152776 163432 182156 222742 265577 297868 305552 326864 364312 445484 531154 592007 595736 728624 890968 968071 1062308 1184014 1191472 1781936 1936142 2124616 2308477 2368028 3452501 3872284 4249232 4616954 4736056 6905002 7744568 9233908 9472112 12584923 13810004 15489136 18467816 25169846 27620008 30010201 36935632 50339692 55240016 60020402 100679384 120040804 201358768 240081608 390132613 480163216 780265226 1560530452 3121060904 6242121808