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96252580516 = 2261225432
BaseRepresentation
bin101100110100100011…
…0011101001010100100
3100012110000012201010111
41121221012131022210
53034111130034031
6112115014502404
76645141302161
oct1315106351244
9305400181114
1096252580516
1137903088404
12167a2964a04
1390cc325171
144931499068
1527852581b1
hex166919d2a4

96252580516 has 27 divisors (see below), whose sum is σ = 171315996033. Its totient is φ = 47318719920.

The previous prime is 96252580499. The next prime is 96252580531. The reversal of 96252580516 is 61508525269.

It is a happy number.

The square root of 96252580516 is 310246.

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

It can be written as a sum of positive squares in only one way, i.e., 3129954916 + 93122625600 = 55946^2 + 305160^2 .

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 96252580516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 37848741 + ... + 37851283.

Almost surely, 296252580516 is an apocalyptic number.

96252580516 is the 310246-th square number.

It is an amenable number.

96252580516 is a deficient number, since it is larger than the sum of its proper divisors (75063415517).

96252580516 is an frugal number, since it uses more digits than its factorization.

96252580516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 2606 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 96252580516 by its sum of digits (49), we get a square (4716376445284 = 21717222).

The spelling of 96252580516 in words is "ninety-six billion, two hundred fifty-two million, five hundred eighty thousand, five hundred sixteen".

Divisors: 1 2 4 61 122 244 2543 3721 5086 7442 10172 14884 155123 310246 620492 6466849 9462503 12933698 18925006 25867396 37850012 394477789 788955578 1577911156 24063145129 48126290258 96252580516