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11761101216 = 2532259315749
BaseRepresentation
bin10101111010000010…
…00010100110100000
31010100122120211211100
422331001002212200
5143041320214331
65223013114400
7564310465554
oct127501024640
933318524740
1011761101216
114a95920467
122342928a00
13115580acb7
147d7dd1864
1548c7d0ae6
hex2bd0429a0

11761101216 has 72 divisors (see below), whose sum is σ = 33460654500. Its totient is φ = 3918606336.

The previous prime is 11761101203. The next prime is 11761101271. The reversal of 11761101216 is 61210116711.

It can be written as a sum of positive squares in 2 ways, for example, as 10941996816 + 819104400 = 104604^2 + 28620^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 11761101216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 738910 + ... + 754658.

Almost surely, 211761101216 is an apocalyptic number.

11761101216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11761101216 is an abundant number, since it is smaller than the sum of its proper divisors (21699553284).

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

11761101216 is a wasteful number, since it uses less digits than its factorization.

11761101216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18358 (or 18347 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

Adding to 11761101216 its reverse (61210116711), we get a palindrome (72971217927).

The spelling of 11761101216 in words is "eleven billion, seven hundred sixty-one million, one hundred one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2593 5186 7779 10372 15558 15749 20744 23337 31116 31498 41488 46674 47247 62232 62996 82976 93348 94494 124464 125992 141741 186696 188988 248928 251984 283482 373392 377976 503968 566964 746784 755952 1133928 1511904 2267856 4535712 40837157 81674314 122511471 163348628 245022942 326697256 367534413 490045884 653394512 735068826 980091768 1306789024 1470137652 1960183536 2940275304 3920367072 5880550608 11761101216