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21855081468 = 22311231487997
BaseRepresentation
bin10100010110101010…
…100001001111111100
32002102010012011121210
4110112222201033330
5324224400101333
614012354124420
71402406061453
oct242652411774
962363164553
1021855081468
1192a5695200
12429b280710
1320a3b11c8c
1410b4819b9a
1587da54a63
hex516aa13fc

21855081468 has 144 divisors (see below), whose sum is σ = 58037676032. Its totient is φ = 6389539200.

The previous prime is 21855081467. The next prime is 21855081497. The reversal of 21855081468 is 86418055812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21855081467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21920346 + ... + 21921342.

Almost surely, 221855081468 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 21855081468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29018838016).

21855081468 is an abundant number, since it is smaller than the sum of its proper divisors (36182594564).

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

21855081468 is a wasteful number, since it uses less digits than its factorization.

21855081468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 48.

The spelling of 21855081468 in words is "twenty-one billion, eight hundred fifty-five million, eighty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 121 124 132 186 242 341 363 372 484 487 682 726 974 997 1023 1364 1452 1461 1948 1994 2046 2922 2991 3751 3988 4092 5357 5844 5982 7502 10714 10967 11253 11964 15004 15097 16071 21428 21934 22506 30194 30907 32142 32901 43868 45012 45291 58927 60388 61814 64284 65802 90582 92721 117854 120637 123628 131604 166067 176781 181164 185442 235708 241274 332134 339977 353562 361911 370884 482548 485539 498201 664268 679954 707124 723822 971078 996402 1019931 1359908 1447644 1456617 1826737 1942156 1992804 2039862 2913234 3653474 3739747 4079724 5340929 5480211 5826468 7306948 7479494 10681858 10960422 11219241 14958988 15051709 16022787 21363716 21920844 22438482 30103418 32045574 44876964 45155127 58750219 60206836 64091148 90310254 117500438 165568799 176250657 180620508 235000876 331137598 352501314 496706397 662275196 705002628 993412794 1821256789 1986825588 3642513578 5463770367 7285027156 10927540734 21855081468