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1649074680 = 23335111271093
BaseRepresentation
bin110001001001010…
…1110000111111000
311020221000200012000
41202102232013320
511334130342210
6431345221000
755602621621
oct14222560770
94227020160
101649074680
11776950240
123a0331760
13203858c46
1411902aa48
1599b94ac0
hex624ae1f8

1649074680 has 256 divisors, whose sum is σ = 6049382400. Its totient is φ = 396264960.

The previous prime is 1649074663. The next prime is 1649074697. The reversal of 1649074680 is 864709461.

1649074680 is a `hidden beast` number, since 16 + 490 + 74 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1649074663) and next prime (1649074697).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1508214 + ... + 1509306.

It is an arithmetic number, because the mean of its divisors is an integer number (23630400).

Almost surely, 21649074680 is an apocalyptic number.

1649074680 is a gapful number since it is divisible by the number (10) 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 1649074680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024691200).

1649074680 is an abundant number, since it is smaller than the sum of its proper divisors (4400307720).

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

1649074680 is a wasteful number, since it uses less digits than its factorization.

1649074680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1649074680 is about 40608.8005240243. The cubic root of 1649074680 is about 1181.4448164448. Note that the first 3 decimals are identical.

The spelling of 1649074680 in words is "one billion, six hundred forty-nine million, seventy-four thousand, six hundred eighty".