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2013215064 = 233723351431
BaseRepresentation
bin111011111111111…
…0011100101011000
312012022012220212220
41313333303211120
513110340340224
6531434104040
7100614021450
oct16777634530
95168186786
102013215064
11943453303
1248227b020
13261123423
14151538d60
15bbb23279
hex77ff3958

2013215064 has 64 divisors (see below), whose sum is σ = 5776842240. Its totient is φ = 572724480.

The previous prime is 2013215059. The next prime is 2013215069. The reversal of 2013215064 is 4605123102.

It is an interprime number because it is at equal distance from previous prime (2013215059) and next prime (2013215069).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013215069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13429 + ... + 64859.

It is an arithmetic number, because the mean of its divisors is an integer number (90263160).

Almost surely, 22013215064 is an apocalyptic number.

2013215064 is a gapful number since it is divisible by the number (24) 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 2013215064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888421120).

2013215064 is an abundant number, since it is smaller than the sum of its proper divisors (3763627176).

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

2013215064 is a wasteful number, since it uses less digits than its factorization.

2013215064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51680 (or 51676 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2013215064 is about 44868.8651962583. The cubic root of 2013215064 is about 1262.6899498400.

Adding to 2013215064 its reverse (4605123102), we get a palindrome (6618338166).

The spelling of 2013215064 in words is "two billion, thirteen million, two hundred fifteen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 4893 5592 6524 9786 13048 19572 39144 51431 102862 154293 205724 308586 360017 411448 617172 720034 1080051 1234344 1440068 2160102 2880136 4320204 8640408 11983423 23966846 35950269 47933692 71900538 83883961 95867384 143801076 167767922 251651883 287602152 335535844 503303766 671071688 1006607532 2013215064