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20400445326312 = 23325933911416209
BaseRepresentation
bin1001010001101110110010…
…10011000000001111101000
32200020021010002222210111200
410220313121103000033220
510133220103000420222
6111215500223124200
74203612024105222
oct450673123001750
980207102883450
1020400445326312
116555864603707
1223558aba43660
13b4c9a4c7366c
1450755b623412
152559e08e7eac
hex128dd94c03e8

20400445326312 has 96 divisors (see below), whose sum is σ = 56204276544000. Its totient is φ = 6682915607040.

The previous prime is 20400445326277. The next prime is 20400445326341. The reversal of 20400445326312 is 21362354400402.

20400445326312 is a `hidden beast` number, since 20 + 4 + 0 + 0 + 44 + 532 + 63 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 13696864 + ... + 15113072.

It is an arithmetic number, because the mean of its divisors is an integer number (585461214000).

Almost surely, 220400445326312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20400445326312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28102138272000).

20400445326312 is an abundant number, since it is smaller than the sum of its proper divisors (35803831217688).

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

20400445326312 is a wasteful number, since it uses less digits than its factorization.

20400445326312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419671 (or 1419664 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 20400445326312 its reverse (21362354400402), we get a palindrome (41762799726714).

The spelling of 20400445326312 in words is "twenty trillion, four hundred billion, four hundred forty-five million, three hundred twenty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 118 177 236 354 472 531 708 1062 1416 2124 3391 4248 6782 10173 13564 20346 27128 30519 40692 61038 81384 122076 200069 244152 400138 600207 800276 1200414 1416209 1600552 1800621 2400828 2832418 3601242 4248627 4801656 5664836 7202484 8497254 11329672 12745881 14404968 16994508 25491762 33989016 50983524 83556331 101967048 167112662 250668993 334225324 501337986 668450648 752006979 1002675972 1504013958 2005351944 3008027916 4802364719 6016055832 9604729438 14407094157 19209458876 28814188314 38418917752 43221282471 57628376628 86442564942 115256753256 172885129884 283339518421 345770259768 566679036842 850018555263 1133358073684 1700037110526 2266716147368 2550055665789 3400074221052 5100111331578 6800148442104 10200222663156 20400445326312