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1337213016 = 233314941549
BaseRepresentation
bin100111110110100…
…0100000001011000
310110012012110102000
41033231010001120
510214311304031
6340405041000
745065060136
oct11755040130
93405173360
101337213016
11626904a27
123139b6160
13184067109
14c984a756
157c5e13e6
hex4fb44058

1337213016 has 64 divisors (see below), whose sum is σ = 3739500000. Its totient is φ = 442735488.

The previous prime is 1337212973. The next prime is 1337213029. The reversal of 1337213016 is 6103127331.

1337213016 is a `hidden beast` number, since 1 + 337 + 21 + 301 + 6 = 666.

It is a super-3 number, since 3×13372130163 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 11410 + ... + 52958.

Almost surely, 21337213016 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 1337213016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869750000).

1337213016 is an abundant number, since it is smaller than the sum of its proper divisors (2402286984).

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

1337213016 is a wasteful number, since it uses less digits than its factorization.

1337213016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41713 (or 41703 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1337213016 is about 36567.9233208559. The cubic root of 1337213016 is about 1101.7089183699.

The spelling of 1337213016 in words is "one billion, three hundred thirty-seven million, two hundred thirteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 149 216 298 447 596 894 1192 1341 1788 2682 3576 4023 5364 8046 10728 16092 32184 41549 83098 124647 166196 249294 332392 373941 498588 747882 997176 1121823 1495764 2243646 2991528 4487292 6190801 8974584 12381602 18572403 24763204 37144806 49526408 55717209 74289612 111434418 148579224 167151627 222868836 334303254 445737672 668606508 1337213016