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2146452768 = 25327452961
BaseRepresentation
bin111111111110000…
…0100010100100000
312112120221002122200
41333330010110200
513343442442033
6552553533200
7104122355535
oct17774042440
95476832580
102146452768
11a01686809
124baa14200
132829037c5
141650dcd8c
15c8691013
hex7ff04520

2146452768 has 36 divisors (see below), whose sum is σ = 6103975878. Its totient is φ = 715484160.

The previous prime is 2146452767. The next prime is 2146452773. The reversal of 2146452768 is 8672546412.

2146452768 is a `hidden beast` number, since 2 + 1 + 4 + 64 + 527 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2058618384 + 87834384 = 45372^2 + 9372^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (2146452761) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3726193 + ... + 3726768.

Almost surely, 22146452768 is an apocalyptic number.

It is an amenable number.

2146452768 is an abundant number, since it is smaller than the sum of its proper divisors (3957523110).

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

2146452768 is a wasteful number, since it uses less digits than its factorization.

2146452768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452977 (or 7452966 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2146452768 is about 46329.8259008169. The cubic root of 2146452768 is about 1289.9526789925.

The spelling of 2146452768 in words is "two billion, one hundred forty-six million, four hundred fifty-two thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7452961 14905922 22358883 29811844 44717766 59623688 67076649 89435532 119247376 134153298 178871064 238494752 268306596 357742128 536613192 715484256 1073226384 2146452768