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4723803463680 = 21334574593
BaseRepresentation
bin100010010111101100010…
…1000001010000000000000
3121201120221222121100020000
41010233120220022000000
51104343322141314210
614014030234120000
7665166152640000
oct104573050120000
917646858540200
104723803463680
1115613989a68a4
12643608280000
132835b691b112
141248c1b20000
1582d24b80ac0
hex44bd8a0a000

4723803463680 has 1400 divisors, whose sum is σ = 19789262336052. Its totient is φ = 1077905719296.

The previous prime is 4723803463679. The next prime is 4723803463741. The reversal of 4723803463680 is 863643083274.

4723803463680 is a `hidden beast` number, since 4 + 7 + 23 + 80 + 3 + 463 + 6 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4723006869504 + 796594176 = 2173248^2 + 28224^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 99 ways as a sum of consecutive naturals, for example, 7965941464 + ... + 7965942056.

Almost surely, 24723803463680 is an apocalyptic number.

4723803463680 is a gapful number since it is divisible by the number (40) 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 4723803463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9894631168026).

4723803463680 is an abundant number, since it is smaller than the sum of its proper divisors (15065458872372).

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

4723803463680 is an frugal number, since it uses more digits than its factorization.

4723803463680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 4723803463680 in words is "four trillion, seven hundred twenty-three billion, eight hundred three million, four hundred sixty-three thousand, six hundred eighty".