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20471604400 = 24521326314969
BaseRepresentation
bin10011000100001100…
…111110010010110000
31221211200221020212101
4103010030332102300
5313411212320100
613223213310144
71323206523562
oct230414762260
957750836771
1020471604400
118755761425
123b73a95354
131c132ca0b0
14dc2ba9332
157ec37586a
hex4c433e4b0

20471604400 has 120 divisors (see below), whose sum is σ = 53171284320. Its totient is φ = 7529502720.

The previous prime is 20471604367. The next prime is 20471604451. The reversal of 20471604400 is 440617402.

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, 1360116 + ... + 1375084.

It is an arithmetic number, because the mean of its divisors is an integer number (443094036).

Almost surely, 220471604400 is an apocalyptic number.

20471604400 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 20471604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585642160).

20471604400 is an abundant number, since it is smaller than the sum of its proper divisors (32699679920).

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

20471604400 is a wasteful number, since it uses less digits than its factorization.

20471604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15263 (or 15252 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The spelling of 20471604400 in words is "twenty billion, four hundred seventy-one million, six hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 263 325 400 520 526 650 1040 1052 1300 1315 2104 2600 2630 3419 4208 5200 5260 6575 6838 10520 13150 13676 14969 17095 21040 26300 27352 29938 34190 52600 54704 59876 68380 74845 85475 105200 119752 136760 149690 170950 194597 239504 273520 299380 341900 374225 389194 598760 683800 748450 778388 972985 1197520 1367600 1496900 1556776 1945970 2993800 3113552 3891940 3936847 4864925 5987600 7783880 7873694 9729850 15567760 15747388 19459700 19684235 31494776 38919400 39368470 51179011 62989552 77838800 78736940 98421175 102358022 157473880 196842350 204716044 255895055 314947760 393684700 409432088 511790110 787369400 818864176 1023580220 1279475275 1574738800 2047160440 2558950550 4094320880 5117901100 10235802200 20471604400