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2012997984 = 253193110859
BaseRepresentation
bin111011111111011…
…1110100101100000
312012021210220002220
41313332332211200
513110311413414
6531425311040
7100612125534
oct16776764540
95167726086
102012997984
119433151a8
12482195480
1326107868a
141514bdbc4
15bbacdca9
hex77fbe960

2012997984 has 48 divisors (see below), whose sum is σ = 5287343040. Its totient is φ = 670590080.

The previous prime is 2012997977. The next prime is 2012997991. The reversal of 2012997984 is 4897992102.

It is an interprime number because it is at equal distance from previous prime (2012997977) and next prime (2012997991).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

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, 179947 + ... + 190805.

It is an arithmetic number, because the mean of its divisors is an integer number (110152980).

Almost surely, 22012997984 is an apocalyptic number.

2012997984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2012997984 is an abundant number, since it is smaller than the sum of its proper divisors (3274345056).

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

2012997984 is a wasteful number, since it uses less digits than its factorization.

2012997984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12803 (or 12795 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 2012997984 is about 44866.4460816767. The cubic root of 2012997984 is about 1262.6445639642.

The spelling of 2012997984 in words is "two billion, twelve million, nine hundred ninety-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1931 3862 5793 7724 10859 11586 15448 21718 23172 30896 32577 43436 46344 61792 65154 86872 92688 130308 173744 185376 260616 347488 521232 1042464 20968729 41937458 62906187 83874916 125812374 167749832 251624748 335499664 503249496 670999328 1006498992 2012997984