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2423731680 = 253352112659
BaseRepresentation
bin1001000001110111…
…0011010111100000
320020220200022211000
42100131303113200
514430433403210
61040300552000
7114030244056
oct22035632740
96226608730
102423731680
111034151537
12577852600
132c81a7776
1418dc7a1d6
15e2bb2ac0
hex907735e0

2423731680 has 192 divisors, whose sum is σ = 8526470400. Its totient is φ = 643023360.

The previous prime is 2423731669. The next prime is 2423731693. The reversal of 2423731680 is 861373242.

It is a happy number.

2423731680 is a `hidden beast` number, since 2 + 423 + 73 + 168 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910191 + ... + 912849.

It is an arithmetic number, because the mean of its divisors is an integer number (44408700).

Almost surely, 22423731680 is an apocalyptic number.

2423731680 is a gapful number since it is divisible by the number (20) 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 2423731680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263235200).

2423731680 is an abundant number, since it is smaller than the sum of its proper divisors (6102738720).

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

2423731680 is a wasteful number, since it uses less digits than its factorization.

2423731680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2894 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2423731680 is about 49231.4094862213. The cubic root of 2423731680 is about 1343.2644252976.

The spelling of 2423731680 in words is "two billion, four hundred twenty-three million, seven hundred thirty-one thousand, six hundred eighty".