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9696969696 = 253412719091
BaseRepresentation
bin10010000011111110…
…00000001111100000
3221000210120002200210
421001333000033200
5124324411012241
64242115414120
7462204611451
oct110177001740
927023502623
109696969696
114126760947
121a675b4340
13bb6c9b2bb
1467dc01128
153bb4a1316
hex241fc03e0

9696969696 has 96 divisors (see below), whose sum is σ = 26174486016. Its totient is φ = 3141504000.

The previous prime is 9696969661. The next prime is 9696969707. The reversal of 9696969696 is 6969696969.

It is a tau number, because it is divible by the number of its divisors (96).

It is an alternating number because its digits alternate between odd and even.

9696969696 is a strobogrammatic number because it is the same when read upside-down.

9696969696 is an undulating number in base 10.

9696969696 is a modest number, since divided by 969696 gives 9696 as remainder.

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, 1062111 + ... + 1071201.

It is an arithmetic number, because the mean of its divisors is an integer number (272650896).

Almost surely, 29696969696 is an apocalyptic number.

9696969696 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9696969696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13087243008).

9696969696 is an abundant number, since it is smaller than the sum of its proper divisors (16477516320).

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

9696969696 is a wasteful number, since it uses less digits than its factorization.

9696969696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9416 (or 9408 counting only the distinct ones).

The product of its digits is 459165024, while the sum is 75.

The square root of 9696969696 is about 98473.1927785425. The cubic root of 9696969696 is about 2132.4491284518.

The spelling of 9696969696 in words is "nine billion, six hundred ninety-six million, nine hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 271 328 492 542 656 813 984 1084 1312 1626 1968 2168 3252 3936 4336 6504 8672 9091 11111 13008 18182 22222 26016 27273 33333 36364 44444 54546 66666 72728 88888 109092 133332 145456 177776 218184 266664 290912 355552 372731 436368 533328 745462 872736 1066656 1118193 1490924 2236386 2463661 2981848 4472772 4927322 5963696 7390983 8945544 9854644 11927392 14781966 17891088 19709288 29563932 35782176 39418576 59127864 78837152 101010101 118255728 202020202 236511456 303030303 404040404 606060606 808080808 1212121212 1616161616 2424242424 3232323232 4848484848 9696969696