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1164620212016 = 242331971105137
BaseRepresentation
bin10000111100101000110…
…001100010011100110000
311010100002101101122212112
4100330220301202130300
5123040120233241031
62251004044544452
7150066242316062
oct20745061423460
94110071348775
101164620212016
11409a04825798
12169864b52128
1385a917ab511
14405217d9732
1520463b3a62b
hex10f28c62730

1164620212016 has 80 divisors (see below), whose sum is σ = 2433037989888. Its totient is φ = 538464537600.

The previous prime is 1164620212013. The next prime is 1164620212031. The reversal of 1164620212016 is 6102120264611.

It is not an unprimeable number, because it can be changed into a prime (1164620212013) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11024600 + ... + 11129736.

Almost surely, 21164620212016 is an apocalyptic number.

1164620212016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164620212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216518994944).

1164620212016 is an abundant number, since it is smaller than the sum of its proper divisors (1268417777872).

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

1164620212016 is a wasteful number, since it uses less digits than its factorization.

1164620212016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106170 (or 106164 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

Adding to 1164620212016 its reverse (6102120264611), we get a palindrome (7266740476627).

The spelling of 1164620212016 in words is "one trillion, one hundred sixty-four billion, six hundred twenty million, two hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 23 31 46 62 92 124 184 248 368 496 713 971 1426 1942 2852 3884 5704 7768 11408 15536 22333 30101 44666 60202 89332 105137 120404 178664 210274 240808 357328 420548 481616 692323 841096 1384646 1682192 2418151 2769292 3259247 4836302 5538584 6518494 9672604 11077168 13036988 19345208 26073976 38690416 52147952 74962681 102088027 149925362 204176054 299850724 408352108 599701448 816704216 1199402896 1633408432 2348024621 3164728837 4696049242 6329457674 9392098484 12658915348 18784196968 25317830696 37568393936 50635661392 72788763251 145577526502 291155053004 582310106008 1164620212016