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9514831936 = 268921372
BaseRepresentation
bin10001101110010000…
…01101000001000000
3220120002211112122211
420313020031001000
5123441244110221
64212051511504
7454533510541
oct106710150100
926502745584
109514831936
114042969075
121a165b8594
13b8832938c
1466394c4c8
153aa4c46e1
hex23720d040

9514831936 has 63 divisors (see below), whose sum is σ = 19235925079. Its totient is φ = 4669626368.

The previous prime is 9514831919. The next prime is 9514831987. The reversal of 9514831936 is 6391384159.

The square root of 9514831936 is 97544.

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

It can be written as a sum of positive squares in 4 ways, for example, as 555073600 + 8959758336 = 23560^2 + 94656^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 9514831936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 69451260 + ... + 69451396.

Almost surely, 29514831936 is an apocalyptic number.

9514831936 is the 97544-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9514831936

9514831936 is an abundant number, since it is smaller than the sum of its proper divisors (9721093143).

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

9514831936 is an frugal number, since it uses more digits than its factorization.

9514831936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 228 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The cubic root of 9514831936 is about 2119.0134201465.

Multiplying 9514831936 by its sum of digits (49), we get a square (466226764864 = 6828082).

The spelling of 9514831936 in words is "nine billion, five hundred fourteen million, eight hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 89 137 178 274 356 548 712 1096 1424 2192 2848 4384 5696 7921 8768 12193 15842 18769 24386 31684 37538 48772 63368 75076 97544 126736 150152 195088 253472 300304 390176 506944 600608 780352 1085177 1201216 1670441 2170354 3340882 4340708 6681764 8681416 13363528 17362832 26727056 34725664 53454112 69451328 106908224 148669249 297338498 594676996 1189353992 2378707984 4757415968 9514831936