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4698710016 = 213371113191
BaseRepresentation
bin1000110000001000…
…01010000000000000
3110010110110012101220
410120010022000000
534110332210031
62054125355040
7224303243010
oct43004120000
913113405356
104698710016
111aa1332420
12ab1708a80
1359b5cb8b0
14328073c40
151c7790596
hex11810a000

4698710016 has 448 divisors, whose sum is σ = 16910401536. Its totient is φ = 1120665600.

The previous prime is 4698710011. The next prime is 4698710033. The reversal of 4698710016 is 6100178964.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4698710016.

It is not an unprimeable number, because it can be changed into a prime (4698710011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24600481 + ... + 24600671.

It is an arithmetic number, because the mean of its divisors is an integer number (37746432).

Almost surely, 24698710016 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 4698710016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8455200768).

4698710016 is an abundant number, since it is smaller than the sum of its proper divisors (12211691520).

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

4698710016 is a wasteful number, since it uses less digits than its factorization.

4698710016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 4698710016 is about 68547.1371831093. The cubic root of 4698710016 is about 1674.9154205157.

The spelling of 4698710016 in words is "four billion, six hundred ninety-eight million, seven hundred ten thousand, sixteen".