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4976849803392 = 27337383237673
BaseRepresentation
bin100100001101100001101…
…0111010101100010000000
3122121210010012221021211000
41020123003113111202000
51123020042022202032
614330155551252000
71022364656223435
oct110330327254200
918553105837730
104976849803392
111649740a71175
12684668b1a000
132a1412b6788c
14132c48d5bb8c
15896d5143e7c
hex486c35d5880

4976849803392 has 256 divisors, whose sum is σ = 15069292156800. Its totient is φ = 1616504242176.

The previous prime is 4976849803381. The next prime is 4976849803397. The reversal of 4976849803392 is 2933089486794.

4976849803392 is a `hidden beast` number, since 4 + 9 + 76 + 84 + 98 + 0 + 3 + 392 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 4976849803392.

It is not an unprimeable number, because it can be changed into a prime (4976849803397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20821068 + ... + 21058740.

Almost surely, 24976849803392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4976849803392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534646078400).

4976849803392 is an abundant number, since it is smaller than the sum of its proper divisors (10092442353408).

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

4976849803392 is a wasteful number, since it uses less digits than its factorization.

4976849803392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237852 (or 237834 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 4976849803392 in words is "four trillion, nine hundred seventy-six billion, eight hundred forty-nine million, eight hundred three thousand, three hundred ninety-two".