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96635804769 = 327211321312
BaseRepresentation
bin101100111111111110…
…0010101110001100001
3100020102201022111222100
41121333330111301201
53040402231223034
6112221024401013
76660503534100
oct1317774256141
9306381274870
1096635804769
1137a8a435469
121688b176169
139160841a8a
14496a334037
1527a8c06099
hex167ff15c61

96635804769 has 81 divisors (see below), whose sum is σ = 165084217779. Its totient is φ = 54313983360.

The previous prime is 96635804761. The next prime is 96635804773. The reversal of 96635804769 is 96740853669.

The square root of 96635804769 is 310863.

It is a perfect power (a square), and thus also a powerful number.

96635804769 is a `hidden beast` number, since 9 + 6 + 6 + 3 + 580 + 47 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1702800225 + 94933004544 = 41265^2 + 308112^2 .

It is not a de Polignac number, because 96635804769 - 23 = 96635804761 is a prime.

It is a super-2 number, since 2×966358047692 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (96635804761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 737677834 + ... + 737677964.

Almost surely, 296635804769 is an apocalyptic number.

96635804769 is the 310863-rd square number.

96635804769 is the 155432-nd centered octagonal number.

It is an amenable number.

96635804769 is a deficient number, since it is larger than the sum of its proper divisors (68448413010).

96635804769 is a wasteful number, since it uses less digits than its factorization.

96635804769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 96635804769 in words is "ninety-six billion, six hundred thirty-five million, eight hundred four thousand, seven hundred sixty-nine".

Divisors: 1 3 7 9 21 49 63 113 131 147 339 393 441 791 917 1017 1179 2373 2751 5537 6419 7119 8253 12769 14803 16611 17161 19257 38307 44409 49833 51483 57771 89383 103621 114921 120127 133227 154449 268149 310863 360381 625681 725347 804447 840889 932589 1081143 1672739 1877043 1939193 2176041 2522667 5018217 5631129 5817579 6528123 7568001 11709173 13574351 15054651 17452737 35127519 40723053 81964211 95020457 105382557 122169159 219128809 245892633 285061371 657386427 737677899 855184113 1533901663 1972159281 4601704989 10737311641 13805114967 32211934923 96635804769