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3421313455362 = 2311377731812457
BaseRepresentation
bin110001110010010110001…
…011000101010100000010
3110010002000012212100201120
4301302112023011110002
5422023322221032422
611135421341013110
7502116223352655
oct61622613052402
913102005770646
103421313455362
1110a9a752855a0
124730a6b54196
131ba8229b239a
14bb8419a589c
155dee235545c
hex31c962c5502

3421313455362 has 64 divisors (see below), whose sum is σ = 7676354116224. Its totient is φ = 1007435543040.

The previous prime is 3421313455333. The next prime is 3421313455369. The reversal of 3421313455362 is 2635543131243.

It is not an unprimeable number, because it can be changed into a prime (3421313455369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981438 + ... + 2793894.

It is an arithmetic number, because the mean of its divisors is an integer number (119943033066).

Almost surely, 23421313455362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3421313455362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838177058112).

3421313455362 is an abundant number, since it is smaller than the sum of its proper divisors (4255040660862).

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

3421313455362 is a wasteful number, since it uses less digits than its factorization.

3421313455362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813283.

The product of its digits is 777600, while the sum is 42.

The spelling of 3421313455362 in words is "three trillion, four hundred twenty-one billion, three hundred thirteen million, four hundred fifty-five thousand, three hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 773 814 1221 1546 2319 2442 4638 8503 17006 25509 28601 51018 57202 85803 171606 314611 629222 943833 1812457 1887666 3624914 5437371 10874742 19937027 39874054 59811081 67060909 119622162 134121818 201182727 402365454 737669999 1401029261 1475339998 2213009997 2802058522 4203087783 4426019994 8406175566 15411321871 30822643742 46233965613 51838082657 92467931226 103676165314 155514247971 311028495942 570218909227 1140437818454 1710656727681 3421313455362