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96648601056 = 2537612357743
BaseRepresentation
bin101101000000010110…
…1001001110111100000
3100020110121101122011220
41122000231021313200
53040414020213211
6112222202535040
76661020361050
oct1320055116740
9306417348156
1096648601056
1137a96685507
1216893507480
1391633a2347
14496bd05560
1527a9dd2806
hex1680b49de0

96648601056 has 96 divisors (see below), whose sum is σ = 294699138048. Its totient is φ = 27161187840.

The previous prime is 96648601043. The next prime is 96648601067. The reversal of 96648601056 is 65010684669.

It is a happy number.

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

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, 1137880 + ... + 1219863.

It is an arithmetic number, because the mean of its divisors is an integer number (3069782688).

Almost surely, 296648601056 is an apocalyptic number.

96648601056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96648601056 is an abundant number, since it is smaller than the sum of its proper divisors (198050536992).

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

96648601056 is a wasteful number, since it uses less digits than its factorization.

96648601056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357824 (or 2357816 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 96648601056 in words is "ninety-six billion, six hundred forty-eight million, six hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 84 96 112 122 168 183 224 244 336 366 427 488 672 732 854 976 1281 1464 1708 1952 2562 2928 3416 5124 5856 6832 10248 13664 20496 40992 2357743 4715486 7073229 9430972 14146458 16504201 18861944 28292916 33008402 37723888 49512603 56585832 66016804 75447776 99025206 113171664 132033608 143822323 198050412 226343328 264067216 287644646 396100824 431466969 528134432 575289292 792201648 862933938 1006756261 1150578584 1584403296 1725867876 2013512522 2301157168 3020268783 3451735752 4027025044 4602314336 6040537566 6903471504 8054050088 12081075132 13806943008 16108100176 24162150264 32216200352 48324300528 96648601056