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15275971216 = 24112534
BaseRepresentation
bin11100011101000010…
…01101001010010000
31110102121102202000201
432032201031022100
5222241122034331
611003453024544
71050360420142
oct161641151220
943377382021
1015275971216
116529984300
122b63a85154
131595a82a2c
14a4cb40c92
155e6178a61
hex38e84d290

15275971216 has 75 divisors (see below), whose sum is σ = 33158077183. Its totient is φ = 6812611520.

The previous prime is 15275971201. The next prime is 15275971223. The reversal of 15275971216 is 61217957251.

The square root of 15275971216 is 123596.

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

It can be written as a sum of positive squares in 2 ways, for example, as 2981596816 + 12294374400 = 54604^2 + 110880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 288225846 + ... + 288225898.

Almost surely, 215275971216 is an apocalyptic number.

15275971216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15275971216 is the 123596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15275971216

15275971216 is an abundant number, since it is smaller than the sum of its proper divisors (17882105967).

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

15275971216 is an frugal number, since it uses more digits than its factorization.

15275971216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 66 counting only the distinct ones).

The product of its digits is 264600, while the sum is 46.

The spelling of 15275971216 in words is "fifteen billion, two hundred seventy-five million, nine hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 53 88 106 121 176 212 242 424 484 583 848 968 1166 1936 2332 2809 4664 5618 6413 9328 11236 12826 22472 25652 30899 44944 51304 61798 102608 123596 148877 247192 297754 339889 494384 595508 679778 1191016 1359556 1637647 2382032 2719112 3275294 5438224 6550588 7890481 13101176 15780962 18014117 26202352 31561924 36028234 63123848 72056468 86795291 126247696 144112936 173590582 288225872 347181164 694362328 954748201 1388724656 1909496402 3818992804 7637985608 15275971216