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26049000880 = 2457251185323
BaseRepresentation
bin11000010000101001…
…000011010110110000
32111020101210100111101
4120100221003112300
5411322021012010
615544452254144
71611342565660
oct302051032660
974211710441
1026049000880
1110057a88a01
12506b911354
1325c196c0b6
14139180c1a0
15a26d3273a
hex610a435b0

26049000880 has 80 divisors (see below), whose sum is σ = 69492052224. Its totient is φ = 8895456000.

The previous prime is 26049000853. The next prime is 26049000889. The reversal of 26049000880 is 8800094062.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (26049000889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47899 + ... + 233221.

Almost surely, 226049000880 is an apocalyptic number.

26049000880 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 26049000880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34746026112).

26049000880 is an abundant number, since it is smaller than the sum of its proper divisors (43443051344).

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

26049000880 is a wasteful number, since it uses less digits than its factorization.

26049000880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185594 (or 185588 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The spelling of 26049000880 in words is "twenty-six billion, forty-nine million, eight hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 251 280 502 560 1004 1255 1757 2008 2510 3514 4016 5020 7028 8785 10040 14056 17570 20080 28112 35140 70280 140560 185323 370646 741292 926615 1297261 1482584 1853230 2594522 2965168 3706460 5189044 6486305 7412920 10378088 12972610 14825840 20756176 25945220 46516073 51890440 93032146 103780880 186064292 232580365 325612511 372128584 465160730 651225022 744257168 930321460 1302450044 1628062555 1860642920 2604900088 3256125110 3721285840 5209800176 6512250220 13024500440 26049000880