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63244317420 = 22325795418221
BaseRepresentation
bin111010111001101001…
…111011001011101100
320001020121100012120200
4322321221323023230
52014011021124140
645015401113500
74366152554034
oct727151731354
9201217305520
1063244317420
112490484a829
1210310488890
135c6b94473b
1430bd6d68c4
1519a24a7030
hexeb9a7b2ec

63244317420 has 144 divisors (see below), whose sum is σ = 194652232320. Its totient is φ = 16618867200.

The previous prime is 63244317403. The next prime is 63244317421. The reversal of 63244317420 is 2471344236.

63244317420 is a `hidden beast` number, since 63 + 244 + 317 + 42 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (63244317421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7688910 + ... + 7697130.

Almost surely, 263244317420 is an apocalyptic number.

63244317420 is a gapful number since it is divisible by the number (60) 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 63244317420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97326116160).

63244317420 is an abundant number, since it is smaller than the sum of its proper divisors (131407914900).

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

63244317420 is a wasteful number, since it uses less digits than its factorization.

63244317420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8856 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 63244317420 in words is "sixty-three billion, two hundred forty-four million, three hundred seventeen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 79 90 158 180 237 316 395 474 541 711 790 948 1082 1185 1422 1580 1623 2164 2370 2705 2844 3246 3555 4740 4869 5410 6492 7110 8115 8221 9738 10820 14220 16230 16442 19476 24345 24663 32460 32884 41105 42739 48690 49326 73989 82210 85478 97380 98652 123315 128217 147978 164420 170956 213695 246630 256434 295956 369945 384651 427390 493260 512868 641085 649459 739890 769302 854780 1282170 1298918 1479780 1538604 1923255 1948377 2564340 2597836 3247295 3846510 3896754 4447561 5845131 6494590 7693020 7793508 8895122 9741885 11690262 12989180 13342683 17790244 19483770 22237805 23380524 26685366 29225655 38967540 40028049 44475610 53370732 58451310 66713415 80056098 88951220 116902620 133426830 160112196 200140245 266853660 351357319 400280490 702714638 800560980 1054071957 1405429276 1756786595 2108143914 3162215871 3513573190 4216287828 5270359785 6324431742 7027146380 10540719570 12648863484 15811079355 21081439140 31622158710 63244317420