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63977779368 = 2334769128389
BaseRepresentation
bin111011100101010111…
…110111000010101000
320010010201110221020000
4323211113313002220
52022011302414433
645220241503000
74423300103046
oct734527670250
9203121427200
1063977779368
1125150874628
1210496041a60
13605789b7a9
14314cca1396
1519e6a89113
hexee55f70a8

63977779368 has 80 divisors (see below), whose sum is σ = 179431444500. Its totient is φ = 21298028544.

The previous prime is 63977779357. The next prime is 63977779391. The reversal of 63977779368 is 86397777936.

It can be written as a sum of positive squares in 2 ways, for example, as 58533995844 + 5443783524 = 241938^2 + 73782^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 63977779296 and 63977779305.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 434118 + ... + 562506.

Almost surely, 263977779368 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 63977779368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89715722250).

63977779368 is an abundant number, since it is smaller than the sum of its proper divisors (115453665132).

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

63977779368 is a wasteful number, since it uses less digits than its factorization.

63977779368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129176 (or 129163 counting only the distinct ones).

The product of its digits is 504094752, while the sum is 72.

The spelling of 63977779368 in words is "sixty-three billion, nine hundred seventy-seven million, seven hundred seventy-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 769 1538 2307 3076 4614 6152 6921 9228 13842 18456 20763 27684 41526 55368 62289 83052 124578 128389 166104 249156 256778 385167 498312 513556 770334 1027112 1155501 1540668 2311002 3081336 3466503 4622004 6933006 9244008 10399509 13866012 20799018 27732024 41598036 83196072 98731141 197462282 296193423 394924564 592386846 789849128 888580269 1184773692 1777160538 2369547384 2665740807 3554321076 5331481614 7108642152 7997222421 10662963228 15994444842 21325926456 31988889684 63977779368