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1263160201216 = 21217210332
BaseRepresentation
bin10010011000011010001…
…101110001000000000000
311110202102210202202211011
4102120122031301000000
5131143423002414331
62404142054530304
7160155200361244
oct22303215610000
94422383682734
101263160201216
114477810040a1
12184985966994
139216698a634
14451cc9a6424
1522cceac93b1
hex1261a371000

1263160201216 has 117 divisors (see below), whose sum is σ = 2685941616351. Its totient is φ = 593852891136.

The previous prime is 1263160201213. The next prime is 1263160201231. The reversal of 1263160201216 is 6121020613621.

It is a happy number.

The square root of 1263160201216 is 1123904.

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 767544201216 + 495616000000 = 876096^2 + 704000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1263160201211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1222807036 + ... + 1222808068.

Almost surely, 21263160201216 is an apocalyptic number.

1263160201216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1263160201216 is the 1123904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263160201216

1263160201216 is an abundant number, since it is smaller than the sum of its proper divisors (1422781415135).

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

1263160201216 is an frugal number, since it uses more digits than its factorization.

1263160201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Adding to 1263160201216 its reverse (6121020613621), we get a palindrome (7384180814837).

The spelling of 1263160201216 in words is "one trillion, two hundred sixty-three billion, one hundred sixty million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 512 544 578 1024 1033 1088 1156 2048 2066 2176 2312 4096 4132 4352 4624 8264 8704 9248 16528 17408 17561 18496 33056 34816 35122 36992 66112 69632 70244 73984 132224 140488 147968 264448 280976 295936 298537 528896 561952 591872 597074 1057792 1067089 1123904 1183744 1194148 2115584 2134178 2247808 2388296 4231168 4268356 4495616 4776592 8536712 8991232 9553184 17073424 17982464 18140513 19106368 34146848 35964928 36281026 38212736 68293696 71929856 72562052 76425472 136587392 145124104 152850944 273174784 290248208 305701888 308388721 546349568 580496416 611403776 616777442 1092699136 1160992832 1222807552 1233554884 2185398272 2321985664 2467109768 4370796544 4643971328 4934219536 9287942656 9868439072 18575885312 19736878144 37151770624 39473756288 74303541248 78947512576 157895025152 315790050304 631580100608 1263160201216