Search a number
-
+
26425142400 = 273522752619
BaseRepresentation
bin11000100111000011…
…111010110010000000
32112012121120022122210
4120213003322302000
5413104314024100
620050050302120
71623561001326
oct304703726200
975177508583
1026425142400
1110230338668
125155887940
132651878c47
1413c9761d16
15a49d81c50
hex6270fac80

26425142400 has 96 divisors (see below), whose sum is σ = 87037844400. Its totient is φ = 7046702080.

The previous prime is 26425142399. The next prime is 26425142407. The reversal of 26425142400 is 424152462.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26425142407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1366710 + ... + 1385909.

Almost surely, 226425142400 is an apocalyptic number.

26425142400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26425142400 is an abundant number, since it is smaller than the sum of its proper divisors (60612702000).

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

26425142400 is a wasteful number, since it uses less digits than its factorization.

26425142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752646 (or 2752629 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 26425142400 its reverse (424152462), we get a palindrome (26849294862).

The spelling of 26425142400 in words is "twenty-six billion, four hundred twenty-five million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 2752619 5505238 8257857 11010476 13763095 16515714 22020952 27526190 33031428 41289285 44041904 55052380 66062856 68815475 82578570 88083808 110104760 132125712 137630950 165157140 176167616 206446425 220209520 264251424 275261900 330314280 352335232 412892850 440419040 528502848 550523800 660628560 825785700 880838080 1057005696 1101047600 1321257120 1651571400 1761676160 2202095200 2642514240 3303142800 4404190400 5285028480 6606285600 8808380800 13212571200 26425142400