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15352201216 = 220114
BaseRepresentation
bin11100100110001000…
…00000000000000000
31110121220212121221001
432103010000000000
5222420130414331
611015214541344
71052304362062
oct162304000000
943556777831
1015352201216
116568a10000
122b85507854
1315a87c3141
14a58d05732
155ecbd5561
hex393100000

15352201216 has 105 divisors (see below), whose sum is σ = 33774616855. Its totient is φ = 6978273280.

The previous prime is 15352201199. The next prime is 15352201217. The reversal of 15352201216 is 61210225351.

The square root of 15352201216 is 123904.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15352201217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 1395654651 + ... + 1395654661.

Almost surely, 215352201216 is an apocalyptic number.

15352201216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15352201216 is the 123904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15352201216

15352201216 is an abundant number, since it is smaller than the sum of its proper divisors (18422415639).

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

15352201216 is an frugal number, since it uses more digits than its factorization.

15352201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

Multiplying 15352201216 by its product of nonzero digits (3600), we get a square (55267924377600 = 74342402).

Adding to 15352201216 its reverse (61210225351), we get a palindrome (76562426567).

The spelling of 15352201216 in words is "fifteen billion, three hundred fifty-two million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 968 1024 1331 1408 1936 2048 2662 2816 3872 4096 5324 5632 7744 8192 10648 11264 14641 15488 16384 21296 22528 29282 30976 32768 42592 45056 58564 61952 65536 85184 90112 117128 123904 131072 170368 180224 234256 247808 262144 340736 360448 468512 495616 524288 681472 720896 937024 991232 1048576 1362944 1441792 1874048 1982464 2725888 2883584 3748096 3964928 5451776 5767168 7496192 7929856 10903552 11534336 14992384 15859712 21807104 29984768 31719424 43614208 59969536 63438848 87228416 119939072 126877696 174456832 239878144 348913664 479756288 697827328 959512576 1395654656 1919025152 3838050304 7676100608 15352201216