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21474167300 = 2252378297001
BaseRepresentation
bin10011111111111101…
…011100101000000100
32001102120102201121122
4103333331130220010
5322434341323200
613510505533112
71360102260515
oct237775345004
961376381548
1021474167300
11911a675803
1241b37a4198
132042c23991
141079dc2a0c
1585a3b1385
hex4fff5ca04

21474167300 has 72 divisors (see below), whose sum is σ = 47922948360. Its totient is φ = 8346240000.

The previous prime is 21474167293. The next prime is 21474167303. The reversal of 21474167300 is 376147412.

It can be written as a sum of positive squares in 12 ways, for example, as 1972603396 + 19501563904 = 44414^2 + 139648^2 .

It is a super-2 number, since 2×214741673002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21474167303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3063800 + ... + 3070800.

It is an arithmetic number, because the mean of its divisors is an integer number (665596505).

Almost surely, 221474167300 is an apocalyptic number.

21474167300 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 21474167300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961474180).

21474167300 is an abundant number, since it is smaller than the sum of its proper divisors (26448781060).

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

21474167300 is a wasteful number, since it uses less digits than its factorization.

21474167300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7881 (or 7874 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The spelling of 21474167300 in words is "twenty-one billion, four hundred seventy-four million, one hundred sixty-seven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 829 925 1658 1850 3316 3700 4145 7001 8290 14002 16580 20725 28004 30673 35005 41450 61346 70010 82900 122692 140020 153365 175025 259037 306730 350050 518074 613460 700100 766825 1036148 1295185 1533650 2590370 3067300 5180740 5803829 6475925 11607658 12951850 23215316 25903700 29019145 58038290 116076580 145095725 214741673 290191450 429483346 580382900 858966692 1073708365 2147416730 4294833460 5368541825 10737083650 21474167300