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2349091816968 = 23313173197220919
BaseRepresentation
bin100010001011110000110…
…010001000011000001000
322022120102020200120102110
4202023300302020120020
5301441420001120333
64555054034102320
7331500453663261
oct42136062103010
98276366616373
102349091816968
118262760a9846
1231b32a11a9a0
13140697c32790
14819a7875968
154118a43a063
hex222f0c88608

2349091816968 has 128 divisors (see below), whose sum is σ = 6393354105600. Its totient is φ = 714968411136.

The previous prime is 2349091816963. The next prime is 2349091816991. The reversal of 2349091816968 is 8696181909432.

It is a super-2 number, since 2×23490918169682 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2349091816899 and 2349091816908.

It is not an unprimeable number, because it can be changed into a prime (2349091816963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10522813 + ... + 10743731.

It is an arithmetic number, because the mean of its divisors is an integer number (49948078950).

Almost surely, 22349091816968 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 2349091816968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196677052800).

2349091816968 is an abundant number, since it is smaller than the sum of its proper divisors (4044262288632).

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

2349091816968 is a wasteful number, since it uses less digits than its factorization.

2349091816968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221311 (or 221307 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 66.

The spelling of 2349091816968 in words is "two trillion, three hundred forty-nine billion, ninety-one million, eight hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 173 197 312 346 394 519 591 692 788 1038 1182 1384 1576 2076 2249 2364 2561 4152 4498 4728 5122 6747 7683 8996 10244 13494 15366 17992 20488 26988 30732 34081 53976 61464 68162 102243 136324 204486 220919 272648 408972 441838 443053 662757 817944 883676 886106 1325514 1329159 1767352 1772212 2651028 2658318 2871947 3544424 5302056 5316636 5743894 8615841 10633272 11487788 17231682 22975576 34463364 38218987 43521043 68926728 76437974 87042086 114656961 130563129 152875948 174084172 229313922 261126258 305751896 348168344 458627844 496846831 522252516 565773559 917255688 993693662 1044505032 1131547118 1490540493 1697320677 1987387324 2263094236 2981080986 3394641354 3974774648 4526188472 5962161972 6789282708 7529140439 11924323944 13578565416 15058280878 22587421317 30116561756 45174842634 60233123512 90349685268 97878825707 180699370536 195757651414 293636477121 391515302828 587272954242 783030605656 1174545908484 2349091816968