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21304440396 = 22331318591753
BaseRepresentation
bin10011110101110101…
…111111011001001100
32000222202001201002000
4103311311333121030
5322112414043041
613442004032300
71352641520061
oct236565773114
960882051060
1021304440396
11904288a438
124166992690
132016a08a65
141061640c68
1584a536bb6
hex4f5d7f64c

21304440396 has 96 divisors (see below), whose sum is σ = 55751942400. Its totient is φ = 7035050880.

The previous prime is 21304440389. The next prime is 21304440397. The reversal of 21304440396 is 69304440312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21304440396.

It is not an unprimeable number, because it can be changed into a prime (21304440397) 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, 12152256 + ... + 12154008.

It is an arithmetic number, because the mean of its divisors is an integer number (580749400).

Almost surely, 221304440396 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 21304440396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27875971200).

21304440396 is an abundant number, since it is smaller than the sum of its proper divisors (34447502004).

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

21304440396 is a wasteful number, since it uses less digits than its factorization.

21304440396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 21304440396 in words is "twenty-one billion, three hundred four million, four hundred forty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 131 262 393 524 786 859 1179 1572 1718 1753 2358 2577 3436 3506 3537 4716 5154 5259 7012 7074 7731 10308 10518 14148 15462 15777 21036 23193 30924 31554 46386 47331 63108 92772 94662 112529 189324 225058 229643 337587 450116 459286 675174 688929 918572 1012761 1350348 1377858 1505827 2025522 2066787 2755716 3011654 3038283 4051044 4133574 4517481 6023308 6076566 6200361 8267148 9034962 12153132 12400722 13552443 18069924 24801444 27104886 40657329 54209772 81314658 162629316 197263337 394526674 591790011 789053348 1183580022 1775370033 2367160044 3550740066 5326110099 7101480132 10652220198 21304440396