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13458949896 = 23371936711489
BaseRepresentation
bin11001000100011011…
…10100011100001000
31021201222101111100210
430202031310130020
5210030442344041
610103304001120
7654345120660
oct144215643410
937658344323
1013458949896
115787254297
1227374601a0
1313664b32a2
149196b71a0
1553b8ac016
hex322374708

13458949896 has 128 divisors (see below), whose sum is σ = 40591872000. Its totient is φ = 3632781312.

The previous prime is 13458949891. The next prime is 13458949897. The reversal of 13458949896 is 69894985431.

It is a super-2 number, since 2×134589498962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13458949891) 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, 1165720 + ... + 1177208.

It is an arithmetic number, because the mean of its divisors is an integer number (317124000).

Almost surely, 213458949896 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 13458949896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20295936000).

13458949896 is an abundant number, since it is smaller than the sum of its proper divisors (27132922104).

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

13458949896 is a wasteful number, since it uses less digits than its factorization.

13458949896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11887 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 66.

The spelling of 13458949896 in words is "thirteen billion, four hundred fifty-eight million, nine hundred forty-nine thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 367 399 456 532 734 798 1064 1101 1468 1596 2202 2569 2936 3192 4404 5138 6973 7707 8808 10276 11489 13946 15414 20552 20919 22978 27892 30828 34467 41838 45956 48811 55784 61656 68934 80423 83676 91912 97622 137868 146433 160846 167352 195244 218291 241269 275736 292866 321692 390488 436582 482538 585732 643384 654873 873164 965076 1171464 1309746 1528037 1746328 1930152 2619492 3056074 4216463 4584111 5238984 6112148 8432926 9168222 12224296 12649389 16865852 18336444 25298778 29515241 33731704 36672888 50597556 59030482 80112797 88545723 101195112 118060964 160225594 177091446 236121928 240338391 320451188 354182892 480676782 560789579 640902376 708365784 961353564 1121579158 1682368737 1922707128 2243158316 3364737474 4486316632 6729474948 13458949896