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2016998464 = 26133765521
BaseRepresentation
bin111100000111000…
…1111010001000000
312012120100010201211
41320032033101000
513112322422324
6532051135504
7100661126665
oct17016172100
95176303654
102016998464
119455a7888
124835a4594
13261b49520
14151c41a6c
15bc11e294
hex7838f440

2016998464 has 56 divisors (see below), whose sum is σ = 4426928408. Its totient is φ = 905748480.

The previous prime is 2016998453. The next prime is 2016998483. The reversal of 2016998464 is 4648996102.

It can be written as a sum of positive squares in 4 ways, for example, as 401601600 + 1615396864 = 20040^2 + 40192^2 .

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 7 ways as a sum of consecutive naturals, for example, 1977 + ... + 63544.

It is an arithmetic number, because the mean of its divisors is an integer number (79052293).

Almost surely, 22016998464 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 2016998464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213464204).

2016998464 is an abundant number, since it is smaller than the sum of its proper divisors (2409929944).

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

2016998464 is a wasteful number, since it uses less digits than its factorization.

2016998464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65583 (or 65573 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The square root of 2016998464 is about 44911.0060452892. The cubic root of 2016998464 is about 1263.4804386050.

The spelling of 2016998464 in words is "two billion, sixteen million, nine hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 208 296 416 481 592 832 962 1184 1924 2368 3848 7696 15392 30784 65521 131042 262084 524168 851773 1048336 1703546 2096672 2424277 3407092 4193344 4848554 6814184 9697108 13628368 19394216 27256736 31515601 38788432 54513472 63031202 77576864 126062404 155153728 252124808 504249616 1008499232 2016998464