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221421255546648 = 2335329193573887
BaseRepresentation
bin110010010110000110100111…
…010010000101011100011000
31002000222122222000011000011110
4302112012213102011130120
5213010231212404443043
62102531304234300320
764432105061220303
oct6226064722053430
91060878860130143
10221421255546648
1164608255352453
1220a00b0a5876a0
139671c1c9c6801
143c96bbb401b3a
151a8ea1d15eb33
hexc961a7485718

221421255546648 has 96 divisors (see below), whose sum is σ = 564808682188800. Its totient is φ = 72335681368704.

The previous prime is 221421255546643. The next prime is 221421255546649. The reversal of 221421255546648 is 846645552124122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221421255546641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60168361 + ... + 63742247.

It is an arithmetic number, because the mean of its divisors is an integer number (5883423772800).

Almost surely, 2221421255546648 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 221421255546648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282404341094400).

221421255546648 is an abundant number, since it is smaller than the sum of its proper divisors (343387426642152).

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

221421255546648 is a wasteful number, since it uses less digits than its factorization.

221421255546648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574921 (or 3574864 counting only the distinct ones).

The product of its digits is 36864000, while the sum is 57.

The spelling of 221421255546648 in words is "two hundred twenty-one trillion, four hundred twenty-one billion, two hundred fifty-five million, five hundred forty-six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 318 424 636 919 1272 1838 2757 2809 3676 5514 5618 7352 8427 11028 11236 16854 22056 22472 33708 48707 67416 97414 146121 194828 292242 389656 584484 1168968 2581471 3573887 5162942 7147774 7744413 10325884 10721661 14295548 15488826 20651768 21443322 28591096 30977652 42886644 61955304 85773288 189416011 378832022 568248033 757664044 1136496066 1515328088 2272992132 3284402153 4545984264 6568804306 9853206459 10039048583 13137608612 19706412918 20078097166 26275217224 30117145749 39412825836 40156194332 60234291498 78825651672 80312388664 120468582996 174073314109 240937165992 348146628218 522219942327 696293256436 1044439884654 1392586512872 2088879769308 4177759538616 9225885647777 18451771295554 27677656943331 36903542591108 55355313886662 73807085182216 110710627773324 221421255546648