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9968896896 = 273719195193
BaseRepresentation
bin10010100100011000…
…10100101110000000
3221201202020102200120
421102030110232000
5130404014200041
64325112020240
7502016140230
oct112214245600
927652212616
109968896896
114256200872
121b22691680
13c2b41a37a
146a7d87cc0
153d52b7366
hex252314b80

9968896896 has 128 divisors (see below), whose sum is σ = 31855660800. Its totient is φ = 2698334208.

The previous prime is 9968896867. The next prime is 9968896919. The reversal of 9968896896 is 6986988699.

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

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, 46525 + ... + 148668.

It is an arithmetic number, because the mean of its divisors is an integer number (248872350).

Almost surely, 29968896896 is an apocalyptic number.

9968896896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

9968896896 is an abundant number, since it is smaller than the sum of its proper divisors (21886763904).

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

9968896896 is a wasteful number, since it uses less digits than its factorization.

9968896896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195236 (or 195224 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 78.

The square root of 9968896896 is about 99844.3633661911. The cubic root of 9968896896 is about 2152.1987166959.

The spelling of 9968896896 in words is "nine billion, nine hundred sixty-eight million, eight hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072 195193 390386 585579 780772 1171158 1366351 1561544 2342316 2732702 3123088 3708667 4099053 4684632 5465404 6246176 7417334 8198106 9369264 10930808 11126001 12492352 14834668 16396212 18738528 21861616 22252002 24984704 25960669 29669336 32792424 37477056 43723232 44504004 51921338 59338672 65584848 74954112 77882007 87446464 89008008 103842676 118677344 131169696 155764014 174892928 178016016 207685352 237354688 262339392 311528028 356032032 415370704 474709376 524678784 623056056 712064064 830741408 1246112112 1424128128 1661482816 2492224224 3322965632 4984448448 9968896896