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96969645504 = 2633444712619
BaseRepresentation
bin101101001001111010…
…1110101110111000000
3100021021222111101101000
41122103311311313000
53042043212124004
6112314112012000
710001666246514
oct1322365656700
9307258441330
1096969645504
11381409229a6
1216962b31000
1391b4a5aa84
14499c7d6144
1527c819bc39
hex1693d75dc0

96969645504 has 112 divisors (see below), whose sum is σ = 285159500800. Its totient is φ = 32313385728.

The previous prime is 96969645497. The next prime is 96969645523. The reversal of 96969645504 is 40554696969.

96969645504 is a `hidden beast` number, since 9 + 6 + 9 + 69 + 64 + 5 + 504 = 666.

It is a super-2 number, since 2×969696455042 (a number of 23 digits) contains 22 as substring.

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, 7678107 + ... + 7690725.

Almost surely, 296969645504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96969645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142579750400).

96969645504 is an abundant number, since it is smaller than the sum of its proper divisors (188189855296).

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

96969645504 is a wasteful number, since it uses less digits than its factorization.

96969645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17087 (or 17071 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 96969645504 in words is "ninety-six billion, nine hundred sixty-nine million, six hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4447 8894 12619 13341 17788 25238 26682 35576 37857 40023 50476 53364 71152 75714 80046 100952 106728 113571 120069 142304 151428 160092 201904 213456 227142 240138 284608 302856 320184 340713 403808 426912 454284 480276 605712 640368 681426 807616 853824 908568 960552 1211424 1280736 1362852 1817136 1921104 2422848 2561472 2725704 3634272 3842208 5451408 7268544 7684416 10902816 21805632 56116693 112233386 168350079 224466772 336700158 448933544 505050237 673400316 897867088 1010100474 1346800632 1515150711 1795734176 2020200948 2693601264 3030301422 3591468352 4040401896 5387202528 6060602844 8080803792 10774405056 12121205688 16161607584 24242411376 32323215168 48484822752 96969645504