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2013012992 = 21023127673
BaseRepresentation
bin111011111111100…
…0010010000000000
312012021211122200202
41313333002100000
513110312403432
6531425504332
7100612220354
oct16777022000
95167748622
102013012992
11943325501
124821a20a8
13261082463
141514c5464
15bbad3462
hex77fc2400

2013012992 has 88 divisors (see below), whose sum is σ = 4238370816. Its totient is φ = 953745408.

The previous prime is 2013012977. The next prime is 2013013001. The reversal of 2013012992 is 2992103102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2990768 + ... + 2991440.

Almost surely, 22013012992 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 2013012992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2119185408).

2013012992 is an abundant number, since it is smaller than the sum of its proper divisors (2225357824).

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

2013012992 is a wasteful number, since it uses less digits than its factorization.

2013012992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 2013012992 is about 44866.6133333016. The cubic root of 2013012992 is about 1262.6477018581.

The spelling of 2013012992 in words is "two billion, thirteen million, twelve thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 127 128 184 254 256 368 508 512 673 736 1016 1024 1346 1472 2032 2692 2921 2944 4064 5384 5842 5888 8128 10768 11684 11776 15479 16256 21536 23368 23552 30958 32512 43072 46736 61916 65024 85471 86144 93472 123832 130048 170942 172288 186944 247664 341884 344576 373888 495328 683768 689152 747776 990656 1367536 1495552 1965833 1981312 2735072 2991104 3931666 3962624 5470144 7863332 7925248 10940288 15726664 15850496 21880576 31453328 43761152 62906656 87522304 125813312 251626624 503253248 1006506496 2013012992