Search a number
-
+
26361948000 = 253532196829
BaseRepresentation
bin11000100011010010…
…110110011101100000
32112001012122201020110
4120203102312131200
5412442124314000
620035512011320
71622162601153
oct304322663540
975035581213
1026361948000
11101a86a5793
125138690b40
132641750ccb
1413c11d1c9a
15a4454c850
hex6234b6760

26361948000 has 96 divisors (see below), whose sum is σ = 86361780960. Its totient is φ = 7029849600.

The previous prime is 26361947977. The next prime is 26361948049. The reversal of 26361948000 is 84916362.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 26361948000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1086415 + ... + 1110414.

It is an arithmetic number, because the mean of its divisors is an integer number (899601885).

Almost surely, 226361948000 is an apocalyptic number.

26361948000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26361948000 is an abundant number, since it is smaller than the sum of its proper divisors (59999832960).

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

26361948000 is a wasteful number, since it uses less digits than its factorization.

26361948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196857 (or 2196839 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The spelling of 26361948000 in words is "twenty-six billion, three hundred sixty-one million, nine hundred forty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 2196829 4393658 6590487 8787316 10984145 13180974 17574632 21968290 26361948 32952435 35149264 43936580 52723896 54920725 65904870 70298528 87873160 105447792 109841450 131809740 164762175 175746320 210895584 219682900 263619480 274603625 329524350 351492640 439365800 527238960 549207250 659048700 823810875 878731600 1054477920 1098414500 1318097400 1647621750 1757463200 2196829000 2636194800 3295243500 4393658000 5272389600 6590487000 8787316000 13180974000 26361948000