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2013677988 = 22371929139313
BaseRepresentation
bin111100000000110…
…0100100110100100
312012100002102220020
41320001210212210
513111000143423
6531452035140
7100620660210
oct17001444644
95170072806
102013677988
1194373a093
12482462ab0
1326125604a
14151619940
15bbbb54e3
hex780649a4

2013677988 has 192 divisors, whose sum is σ = 5908224000. Its totient is φ = 520805376.

The previous prime is 2013677983. The next prime is 2013677989. The reversal of 2013677988 is 8897763102.

It is a self number, because there is not a number n which added to its sum of digits gives 2013677988.

It is not an unprimeable number, because it can be changed into a prime (2013677983) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6433320 + ... + 6433632.

It is an arithmetic number, because the mean of its divisors is an integer number (30772000).

Almost surely, 22013677988 is an apocalyptic number.

2013677988 is a gapful number since it is divisible by the number (28) 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 2013677988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2954112000).

2013677988 is an abundant number, since it is smaller than the sum of its proper divisors (3894546012).

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

2013677988 is a wasteful number, since it uses less digits than its factorization.

2013677988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 2013677988 is about 44874.0235325517. The cubic root of 2013677988 is about 1262.7867245125.

The spelling of 2013677988 in words is "two billion, thirteen million, six hundred seventy-seven thousand, nine hundred eighty-eight".