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96149065746969 = 3647277272
BaseRepresentation
bin10101110111001001110010…
…111010001100101000011001
3110121102202112201010101000000
4111313021302322030220121
5100100301241312400334
6540254134313003213
726152353324110454
oct2567116272145031
9417382481111000
1096149065746969
11286aa654016614
12a94a3bb6b3509
134185a8319c521
1419a58d514c49b
15b1b0d039d299
hex577272e8ca19

96149065746969 has 63 divisors (see below), whose sum is σ = 147309160307557. Its totient is φ = 62727441623064.

The previous prime is 96149065746967. The next prime is 96149065747019. The reversal of 96149065746969 is 96964756094169.

The square root of 96149065746969 is 9805563.

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

96149065746969 is a `hidden beast` number, since 9 + 6 + 1 + 4 + 90 + 6 + 5 + 7 + 469 + 69 = 666.

It is not a de Polignac number, because 96149065746969 - 21 = 96149065746967 is a prime.

It is a super-2 number, since 2×961490657469692 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (96149065746967) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 12443255584 + ... + 12443263310.

Almost surely, 296149065746969 is an apocalyptic number.

96149065746969 is the 9805563-rd square number.

96149065746969 is the 4902782-nd centered octagonal number.

It is an amenable number.

96149065746969 is a deficient number, since it is larger than the sum of its proper divisors (51160094560588).

96149065746969 is an frugal number, since it uses more digits than its factorization.

96149065746969 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15566 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

96149065746969 divided by its sum of digits (81) gives a square (1187025503049 = 10895072).

The spelling of 96149065746969 in words is "ninety-six trillion, one hundred forty-nine billion, sixty-five million, seven hundred forty-six thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 47 81 141 243 423 729 1269 2209 3807 6627 7727 11421 19881 23181 34263 59643 69543 178929 208629 363169 536787 625887 1089507 1610361 1877661 3268521 5632983 9805563 17068943 29416689 51206829 59706529 88250067 153620487 179119587 264750201 460861461 537358761 1382584383 1612076283 2806206863 4147753149 4836228849 8418620589 12443259447 14508686547 25255861767 43526059641 75767585301 131891722561 227302755903 395675167683 681908267709 1187025503049 2045724803127 3561076509147 10683229527441 32049688582323 96149065746969