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63727242096 = 2437474998087
BaseRepresentation
bin111011010110011100…
…001000101101110000
320002111021001022200210
4323112130020231300
52021003133221341
645135331544120
74414135422510
oct732634105560
9202437038623
1063727242096
1125032404231
121042615b040
1360179cb69b
1431278c5840
1519cea9ac16
hexed6708b70

63727242096 has 160 divisors (see below), whose sum is σ = 192559104000. Its totient is φ = 17782472448.

The previous prime is 63727242077. The next prime is 63727242101. The reversal of 63727242096 is 69024272736.

63727242096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×637272420962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7876165 + ... + 7884251.

It is an arithmetic number, because the mean of its divisors is an integer number (1203494400).

Almost surely, 263727242096 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 63727242096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96279552000).

63727242096 is an abundant number, since it is smaller than the sum of its proper divisors (128831861904).

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

63727242096 is a wasteful number, since it uses less digits than its factorization.

63727242096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8651 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 48.

The spelling of 63727242096 in words is "sixty-three billion, seven hundred twenty-seven million, two hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 499 564 658 752 987 998 1128 1316 1497 1974 1996 2256 2632 2994 3493 3948 3992 5264 5988 6986 7896 7984 8087 10479 11976 13972 15792 16174 20958 23453 23952 24261 27944 32348 41916 46906 48522 55888 56609 64696 70359 83832 93812 97044 113218 129392 140718 164171 167664 169827 187624 194088 226436 281436 328342 339654 375248 380089 388176 452872 492513 562872 656684 679308 760178 905744 985026 1125744 1140267 1313368 1358616 1520356 1970052 2280534 2626736 2660623 2717232 3040712 3940104 4035413 4561068 5321246 6081424 7880208 7981869 8070826 9122136 10642492 12106239 15963738 16141652 18244272 21284984 24212478 28247891 31927476 32283304 42569968 48424956 56495782 63854952 64566608 84743673 96849912 112991564 127709904 169487346 189664411 193699824 225983128 338974692 379328822 451966256 568993233 677949384 758657644 1137986466 1327650877 1355898768 1517315288 2275972932 2655301754 3034630576 3982952631 4551945864 5310603508 7965905262 9103891728 10621207016 15931810524 21242414032 31863621048 63727242096