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63444332340 = 22325418596793
BaseRepresentation
bin111011000101100100…
…111010111100110100
320001202112201000110200
4323011210322330310
52014413222113330
645051304120500
74404131632644
oct730544727464
9201675630420
1063444332340
11249a7742a14
1210367466130
135ca120576c
1430dc0c0524
1519b4d15a60
hexec593af34

63444332340 has 72 divisors (see below), whose sum is σ = 197141680008. Its totient is φ = 16505840640.

The previous prime is 63444332323. The next prime is 63444332351. The reversal of 63444332340 is 4323344436.

It can be written as a sum of positive squares in 4 ways, for example, as 10928193444 + 52516138896 = 104538^2 + 229164^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 63444332295 and 63444332304.

It is a congruent number.

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, 4291017 + ... + 4305776.

It is an arithmetic number, because the mean of its divisors is an integer number (2738078889).

Almost surely, 263444332340 is an apocalyptic number.

63444332340 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63444332340 is an abundant number, since it is smaller than the sum of its proper divisors (133697347668).

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

63444332340 is a wasteful number, since it uses less digits than its factorization.

63444332340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8596849 (or 8596844 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 63444332340 its reverse (4323344436), we get a palindrome (67767676776).

The spelling of 63444332340 in words is "sixty-three billion, four hundred forty-four million, three hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 8596793 17193586 25790379 34387172 42983965 51580758 77371137 85967930 103161516 128951895 154742274 171935860 257903790 309484548 352468513 386855685 515807580 704937026 773711370 1057405539 1409874052 1547422740 1762342565 2114811078 3172216617 3524685130 4229622156 5287027695 6344433234 7049370260 10574055390 12688866468 15861083085 21148110780 31722166170 63444332340