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63113856 = 2731347269
BaseRepresentation
bin1111000011000…
…0101010000000
311101202111221020
43300300222000
5112124120411
610132425440
71364313261
oct360605200
9141674836
1063113856
1132698413
1219178280
13100ca3a0
14854c968
15581a606
hex3c30a80

63113856 has 128 divisors (see below), whose sum is σ = 185068800. Its totient is φ = 18935808.

The previous prime is 63113819. The next prime is 63113857. The reversal of 63113856 is 65831136.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63113857) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234490 + ... + 234758.

It is an arithmetic number, because the mean of its divisors is an integer number (1445850).

Almost surely, 263113856 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 63113856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92534400).

63113856 is an abundant number, since it is smaller than the sum of its proper divisors (121954944).

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

63113856 is a wasteful number, since it uses less digits than its factorization.

63113856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 334 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 63113856 is about 7944.4229494659. The cubic root of 63113856 is about 398.1452799930.

The spelling of 63113856 in words is "sixty-three million, one hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 128 141 156 188 192 208 269 282 312 376 384 416 538 564 611 624 752 807 832 1076 1128 1222 1248 1504 1614 1664 1833 2152 2256 2444 2496 3008 3228 3497 3666 4304 4512 4888 4992 6016 6456 6994 7332 8608 9024 9776 10491 12643 12912 13988 14664 17216 18048 19552 20982 25286 25824 27976 29328 34432 37929 39104 41964 50572 51648 55952 58656 75858 78208 83928 101144 103296 111904 117312 151716 164359 167856 202288 223808 234624 303432 328718 335712 404576 447616 493077 606864 657436 671424 809152 986154 1213728 1314872 1342848 1618304 1972308 2427456 2629744 3944616 4854912 5259488 7889232 10518976 15778464 21037952 31556928 63113856