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63117696 = 2731941211
BaseRepresentation
bin1111000011000…
…1100110000000
311101202201012110
43300301212000
5112124231241
610132455320
71364330415
oct360614600
9141681173
1063117696
11326a0294
121917a540
13100cc065
14855010c
15581b816
hex3c31980

63117696 has 128 divisors (see below), whose sum is σ = 181641600. Its totient is φ = 19353600.

The previous prime is 63117683. The next prime is 63117701. The reversal of 63117696 is 69671136.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 299031 + ... + 299241.

It is an arithmetic number, because the mean of its divisors is an integer number (1419075).

Almost surely, 263117696 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 63117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90820800).

63117696 is an abundant number, since it is smaller than the sum of its proper divisors (118523904).

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

63117696 is a wasteful number, since it uses less digits than its factorization.

63117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 276 counting only the distinct ones).

The product of its digits is 40824, while the sum is 39.

The square root of 63117696 is about 7944.6646247655. The cubic root of 63117696 is about 398.1533545373.

The spelling of 63117696 in words is "sixty-three million, one hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 192 211 228 246 304 328 384 422 456 492 608 633 656 779 844 912 984 1216 1266 1312 1558 1688 1824 1968 2337 2432 2532 2624 3116 3376 3648 3936 4009 4674 5064 5248 6232 6752 7296 7872 8018 8651 9348 10128 12027 12464 13504 15744 16036 17302 18696 20256 24054 24928 25953 27008 32072 34604 37392 40512 48108 49856 51906 64144 69208 74784 81024 96216 99712 103812 128288 138416 149568 164369 192432 207624 256576 276832 299136 328738 384864 415248 493107 513152 553664 657476 769728 830496 986214 1107328 1314952 1539456 1660992 1972428 2629904 3321984 3944856 5259808 7889712 10519616 15779424 21039232 31558848 63117696