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13484222568 = 23322914474463
BaseRepresentation
bin11001000111011100…
…01110100001101000
31021210201221110221200
430203232032201220
5210103430110233
610110005404200
7655103000145
oct144356164150
937721843850
1013484222568
11579a545aa3
122743a09660
13136b7c162b
1491cbb53cc
1553dc00313
hex323b8e868

13484222568 has 96 divisors (see below), whose sum is σ = 37813651200. Its totient is φ = 4335778944.

The previous prime is 13484222533. The next prime is 13484222603. The reversal of 13484222568 is 86522248431.

13484222568 is a `hidden beast` number, since 1 + 3 + 4 + 84 + 2 + 2 + 2 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (13484222533) and next prime (13484222603).

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, 3019105 + ... + 3023567.

It is an arithmetic number, because the mean of its divisors is an integer number (393892200).

Almost surely, 213484222568 is an apocalyptic number.

13484222568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13484222568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18906825600).

13484222568 is an abundant number, since it is smaller than the sum of its proper divisors (24329428632).

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

13484222568 is a wasteful number, since it uses less digits than its factorization.

13484222568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5951 (or 5944 counting only the distinct ones).

The product of its digits is 737280, while the sum is 45.

The spelling of 13484222568 in words is "thirteen billion, four hundred eighty-four million, two hundred twenty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1447 2088 2894 4341 4463 5788 8682 8926 11576 13023 13389 17364 17852 26046 26778 34728 35704 40167 41963 52092 53556 80334 83926 104184 107112 125889 129427 160668 167852 251778 258854 321336 335704 377667 388281 503556 517708 755334 776562 1007112 1035416 1164843 1510668 1553124 2329686 3021336 3106248 4659372 6457961 9318744 12915922 19373883 25831844 38747766 51663688 58121649 77495532 116243298 154991064 187280869 232486596 374561738 464973192 561842607 749123476 1123685214 1498246952 1685527821 2247370428 3371055642 4494740856 6742111284 13484222568