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63365380448 = 2547534911619
BaseRepresentation
bin111011000000110111…
…101111100101100000
320001120001010211211112
4323000313233211200
52014233014133243
645035404002452
74402152563336
oct730067574540
9201501124745
1063365380448
1124967118217
1210344b30428
135c8aa51476
1430d180bb56
1519ace1c818
hexec0def960

63365380448 has 96 divisors (see below), whose sum is σ = 130153443840. Its totient is φ = 30342807040.

The previous prime is 63365380447. The next prime is 63365380471. The reversal of 63365380448 is 84408356336.

It is a junction number, because it is equal to n+sod(n) for n = 63365380396 and 63365380405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63365380447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39137783 + ... + 39139401.

It is an arithmetic number, because the mean of its divisors is an integer number (1355765040).

Almost surely, 263365380448 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 63365380448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65076721920).

63365380448 is an abundant number, since it is smaller than the sum of its proper divisors (66788063392).

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

63365380448 is a wasteful number, since it uses less digits than its factorization.

63365380448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 2212 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 50.

The spelling of 63365380448 in words is "sixty-three billion, three hundred sixty-five million, three hundred eighty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 32 47 53 94 106 188 212 376 424 491 752 848 982 1504 1619 1696 1964 2491 3238 3928 4982 6476 7856 9964 12952 15712 19928 23077 25904 26023 39856 46154 51808 52046 76093 79712 85807 92308 104092 152186 171614 184616 208184 304372 343228 369232 416368 608744 686456 738464 794929 832736 1217488 1223081 1372912 1589858 2434976 2446162 2745824 3179716 4032929 4892324 6359432 8065858 9784648 12718864 16131716 19569296 25437728 32263432 37361663 39138592 42131237 64526864 74723326 84262474 129053728 149446652 168524948 298893304 337049896 597786608 674099792 1195573216 1348199584 1980168139 3960336278 7920672556 15841345112 31682690224 63365380448