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1968991232 = 21013211701
BaseRepresentation
bin111010101011100…
…0110110000000000
312002020000010012012
41311113012300000
513013030204412
6523214152052
766536102135
oct16527066000
95066003165
101968991232
1192049828a
1246b4b2628
13254c0b190
1414970658c
15b7cd9c22
hex755c6c00

1968991232 has 88 divisors (see below), whose sum is σ = 4264998192. Its totient is φ = 903168000.

The previous prime is 1968991231. The next prime is 1968991249. The reversal of 1968991232 is 2321998691.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1968991231) 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 7 ways as a sum of consecutive naturals, for example, 2808482 + ... + 2809182.

Almost surely, 21968991232 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 1968991232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132499096).

1968991232 is an abundant number, since it is smaller than the sum of its proper divisors (2296006960).

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

1968991232 is a wasteful number, since it uses less digits than its factorization.

1968991232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 927 counting only the distinct ones).

The product of its digits is 419904, while the sum is 50.

The square root of 1968991232 is about 44373.3166666635. The cubic root of 1968991232 is about 1253.3756718256.

The spelling of 1968991232 in words is "one billion, nine hundred sixty-eight million, nine hundred ninety-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 211 256 416 422 512 701 832 844 1024 1402 1664 1688 2743 2804 3328 3376 5486 5608 6656 6752 9113 10972 11216 13312 13504 18226 21944 22432 27008 36452 43888 44864 54016 72904 87776 89728 108032 145808 147911 175552 179456 216064 291616 295822 351104 358912 583232 591644 702208 717824 1166464 1183288 1404416 1922843 2332928 2366576 2808832 3845686 4665856 4733152 7691372 9331712 9466304 15382744 18932608 30765488 37865216 61530976 75730432 123061952 151460864 246123904 492247808 984495616 1968991232