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997091968 = 2753146977
BaseRepresentation
bin111011011011100…
…110101010000000
32120111012112001011
4323123212222000
54020223420333
6242535050304
733465066445
oct7333465200
92514175034
10997091968
11471917a54
12239b10994
1312b75c662
14965d19cc
155c8099cd
hex3b6e6a80

997091968 has 32 divisors (see below), whose sum is σ = 2023887060. Its totient is φ = 489136128.

The previous prime is 997091941. The next prime is 997091969. The reversal of 997091968 is 869190799.

997091968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 944209984 + 52881984 = 30728^2 + 7272^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×9970919682 = 1988384785300226048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (997091969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66705 + ... + 80272.

Almost surely, 2997091968 is an apocalyptic number.

It is an amenable number.

997091968 is an abundant number, since it is smaller than the sum of its proper divisors (1026795092).

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

997091968 is a wasteful number, since it uses less digits than its factorization.

997091968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147044 (or 147032 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 58.

The square root of 997091968 is about 31576.7631020027. The cubic root of 997091968 is about 999.0297148512.

The spelling of 997091968 in words is "nine hundred ninety-seven million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6784 146977 293954 587908 1175816 2351632 4703264 7789781 9406528 15579562 18813056 31159124 62318248 124636496 249272992 498545984 997091968