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1216133152 = 251319251613
BaseRepresentation
bin100100001111100…
…1011100000100000
310010202100222001121
41020133023200200
54442312230102
6320401542024
742064650463
oct11037134040
93122328047
101216133152
11574525923
1229b344914
13164c52820
14b772d2da
1571b75b37
hex487cb820

1216133152 has 96 divisors (see below), whose sum is σ = 2729401920. Its totient is φ = 528768000.

The previous prime is 1216133143. The next prime is 1216133153. The reversal of 1216133152 is 2513316121.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1216133153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983598 + ... + 1984210.

It is an arithmetic number, because the mean of its divisors is an integer number (28431270).

Almost surely, 21216133152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1216133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364700960).

1216133152 is an abundant number, since it is smaller than the sum of its proper divisors (1513268768).

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

1216133152 is a wasteful number, since it uses less digits than its factorization.

1216133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 898 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 1216133152 is about 34873.1006938012. The cubic root of 1216133152 is about 1067.3996167309.

Adding to 1216133152 its reverse (2513316121), we get a palindrome (3729449273).

The spelling of 1216133152 in words is "one billion, two hundred sixteen million, one hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 251 304 416 494 502 608 613 988 1004 1226 1976 2008 2452 3263 3952 4016 4769 4904 6526 7904 7969 8032 9538 9808 11647 13052 15938 19076 19616 23294 26104 31876 38152 46588 52208 61997 63752 76304 93176 104416 123994 127504 151411 152608 153863 186352 247988 255008 302822 307726 372704 495976 605644 615452 991952 1211288 1230904 1983904 2000219 2422576 2461808 2923397 4000438 4845152 4923616 5846794 8000876 11693588 16001752 23387176 32003504 38004161 46774352 64007008 76008322 93548704 152016644 304033288 608066576 1216133152