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26400342140 = 2253128231669
BaseRepresentation
bin11000100101100101…
…010100000001111100
32112010212220100002122
4120211211110001330
5413031441422030
620043402542112
71623140130344
oct304545240174
975125810078
1026400342140
1110218339887
125149507938
1326496a4933
1413c6347d24
15a47ad38e5
hex62595407c

26400342140 has 72 divisors (see below), whose sum is σ = 57390792480. Its totient is φ = 10200954240.

The previous prime is 26400342077. The next prime is 26400342169. The reversal of 26400342140 is 4124300462.

It is a congruent number.

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, 15817226 + ... + 15818894.

It is an arithmetic number, because the mean of its divisors is an integer number (797094340).

Almost surely, 226400342140 is an apocalyptic number.

26400342140 is a gapful number since it is divisible by the number (20) 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 26400342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28695396240).

26400342140 is an abundant number, since it is smaller than the sum of its proper divisors (30990450340).

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

26400342140 is a wasteful number, since it uses less digits than its factorization.

26400342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2530 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 26400342140 in words is "twenty-six billion, four hundred million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 823 961 1646 1669 1922 3292 3338 3844 4115 4805 6676 8230 8345 9610 16460 16690 19220 25513 33380 51026 51739 102052 103478 127565 206956 255130 258695 510260 517390 790903 1034780 1373587 1581806 1603909 2747174 3163612 3207818 3954515 5494348 6415636 6867935 7909030 8019545 13735870 15818060 16039090 27471740 32078180 42581197 85162394 170324788 212905985 425811970 851623940 1320017107 2640034214 5280068428 6600085535 13200171070 26400342140