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63969696 = 2533721511
BaseRepresentation
bin1111010000000…
…1100110100000
311110100222221000
43310001212200
5112334012241
610203032000
71404506400
oct364014640
9143328830
1063969696
113312241a
121950b600
1310339abb
1486d2800
155938eb6
hex3d019a0

63969696 has 144 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 18264960.

The previous prime is 63969683. The next prime is 63969727. The reversal of 63969696 is 69696936.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41581 + ... + 43091.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 263969696 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 63969696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

63969696 is an abundant number, since it is smaller than the sum of its proper divisors (153213984).

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

63969696 is a wasteful number, since it uses less digits than its factorization.

63969696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1523 counting only the distinct ones).

The product of its digits is 2834352, while the sum is 54.

The square root of 63969696 is about 7998.1057757447. The cubic root of 63969696 is about 399.9368566995.

The spelling of 63969696 in words is "sixty-three million, nine hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1511 1512 1568 1764 2016 2352 2646 3022 3024 3528 4533 4704 5292 6044 6048 7056 9066 10577 10584 12088 13599 14112 18132 21154 21168 24176 27198 31731 36264 40797 42308 42336 48352 54396 63462 72528 74039 81594 84616 95193 108792 126924 145056 148078 163188 169232 190386 217584 222117 253848 285579 296156 326376 338464 380772 435168 444234 507696 571158 592312 652752 666351 761544 888468 1015392 1142316 1184624 1305504 1332702 1523088 1776936 1999053 2284632 2369248 2665404 3046176 3553872 3998106 4569264 5330808 7107744 7996212 9138528 10661616 15992424 21323232 31984848 63969696