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21287174748 = 22375912133541
BaseRepresentation
bin10011110100110100…
…001000001001011100
32000221112120112001120
4103310310020021130
5322044004042443
613440150010540
71352341666650
oct236464101134
960845515046
1021287174748
119034067504
124161046a50
1320132720b8
14105d228a60
15848c76083
hex4f4d0825c

21287174748 has 96 divisors (see below), whose sum is σ = 57791838720. Its totient is φ = 5972348160.

The previous prime is 21287174743. The next prime is 21287174749. The reversal of 21287174748 is 84747178212.

It is a self number, because there is not a number n which added to its sum of digits gives 21287174748.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21287174743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6009858 + ... + 6013398.

It is an arithmetic number, because the mean of its divisors is an integer number (601998320).

Almost surely, 221287174748 is an apocalyptic number.

21287174748 is a gapful number since it is divisible by the number (28) 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 21287174748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28895919360).

21287174748 is an abundant number, since it is smaller than the sum of its proper divisors (36504663972).

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

21287174748 is a wasteful number, since it uses less digits than its factorization.

21287174748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4825 counting only the distinct ones).

The product of its digits is 1404928, while the sum is 51.

The spelling of 21287174748 in words is "twenty-one billion, two hundred eighty-seven million, one hundred seventy-four thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1213 1239 1652 2426 2478 3541 3639 4852 4956 7082 7278 8491 10623 14164 14556 16982 21246 24787 25473 33964 42492 49574 50946 71567 74361 99148 101892 143134 148722 208919 214701 286268 297444 417838 429402 500969 626757 835676 858804 1001938 1253514 1462433 1502907 2003876 2507028 2924866 3005814 4295233 4387299 5849732 6011628 8590466 8774598 12885699 17180932 17549196 25771398 30066631 51542796 60133262 90199893 120266524 180399786 253418747 360799572 506837494 760256241 1013674988 1520512482 1773931229 3041024964 3547862458 5321793687 7095724916 10643587374 21287174748