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1915915968 = 26325956377
BaseRepresentation
bin111001000110010…
…1000111011000000
311221112010121121200
41302030220323000
512410433302333
6514040421200
765323005561
oct16214507300
94845117550
101915915968
118a353702a
12455777800
13246c170b5
1414264c168
15b3303c13
hex72328ec0

1915915968 has 84 divisors (see below), whose sum is σ = 5584804680. Its totient is φ = 627803136.

The previous prime is 1915915961. The next prime is 1915915973. The reversal of 1915915968 is 8695195191.

It is not an unprimeable number, because it can be changed into a prime (1915915961) 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 11 ways as a sum of consecutive naturals, for example, 5796 + ... + 62172.

It is an arithmetic number, because the mean of its divisors is an integer number (66485770).

Almost surely, 21915915968 is an apocalyptic number.

1915915968 is a gapful number since it is divisible by the number (18) 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 1915915968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792402340).

1915915968 is an abundant number, since it is smaller than the sum of its proper divisors (3668888712).

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

1915915968 is a wasteful number, since it uses less digits than its factorization.

1915915968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56454 (or 56441 counting only the distinct ones).

The product of its digits is 874800, while the sum is 54.

The square root of 1915915968 is about 43771.1773659334. The cubic root of 1915915968 is about 1242.0111242362.

The spelling of 1915915968 in words is "one billion, nine hundred fifteen million, nine hundred fifteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 72 96 118 144 177 192 236 288 354 472 531 576 708 944 1062 1416 1888 2124 2832 3776 4248 5664 8496 11328 16992 33984 56377 112754 169131 225508 338262 451016 507393 676524 902032 1014786 1353048 1804064 2029572 2706096 3326243 3608128 4059144 5412192 6652486 8118288 9978729 10824384 13304972 16236576 19957458 26609944 29936187 32473152 39914916 53219888 59872374 79829832 106439776 119744748 159659664 212879552 239489496 319319328 478978992 638638656 957957984 1915915968