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769551007968 = 253598964893
BaseRepresentation
bin10110011001011001101…
…00001000000011100000
32201120100022222200100000
423030230310020003200
5100102020024223333
61345305444500000
7106412122432341
oct13145464100340
92646308880300
10769551007968
11277401533376
121051890aa600
135775087b622
14293644420c8
1515040078713
hexb32cd080e0

769551007968 has 72 divisors (see below), whose sum is σ = 2269462949208. Its totient is φ = 256517000064.

The previous prime is 769551007919. The next prime is 769551007969. The reversal of 769551007968 is 869700155967.

769551007968 is a `hidden beast` number, since 7 + 6 + 9 + 551 + 0 + 0 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (769551007969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49474671 + ... + 49490222.

It is an arithmetic number, because the mean of its divisors is an integer number (31520318739).

Almost surely, 2769551007968 is an apocalyptic number.

It is an amenable number.

769551007968 is an abundant number, since it is smaller than the sum of its proper divisors (1499911941240).

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

769551007968 is an equidigital number, since it uses as much as digits as its factorization.

769551007968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98964918 (or 98964898 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 769551007968 in words is "seven hundred sixty-nine billion, five hundred fifty-one million, seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 98964893 197929786 296894679 395859572 593789358 791719144 890684037 1187578716 1583438288 1781368074 2375157432 2672052111 3166876576 3562736148 4750314864 5344104222 7125472296 8016156333 9500629728 10688208444 14250944592 16032312666 21376416888 24048468999 28501889184 32064625332 42752833776 48096937998 64129250664 85505667552 96193875996 128258501328 192387751992 256517002656 384775503984 769551007968