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1988048712 = 2331373191457
BaseRepresentation
bin111011001111111…
…0011011101001000
312010112212100010210
41312133303131020
513032420024322
6525134441120
7100160064246
oct16637633510
95115770123
101988048712
11930224471
124759631a0
13258b515b0
1414c067796
15b980170c
hex767f3748

1988048712 has 128 divisors (see below), whose sum is σ = 5466101760. Its totient is φ = 598855680.

The previous prime is 1988048707. The next prime is 1988048737. The reversal of 1988048712 is 2178408891.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349988 + ... + 4350444.

It is an arithmetic number, because the mean of its divisors is an integer number (42703920).

Almost surely, 21988048712 is an apocalyptic number.

1988048712 is a gapful number since it is divisible by the number (12) 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 1988048712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2733050880).

1988048712 is an abundant number, since it is smaller than the sum of its proper divisors (3478053048).

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

1988048712 is a wasteful number, since it uses less digits than its factorization.

1988048712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 48.

The square root of 1988048712 is about 44587.5398738257. The cubic root of 1988048712 is about 1257.4064211608.

The spelling of 1988048712 in words is "one billion, nine hundred eighty-eight million, forty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 73 78 104 146 156 191 219 292 312 382 438 457 573 584 764 876 914 949 1146 1371 1528 1752 1828 1898 2292 2483 2742 2847 3656 3796 4584 4966 5484 5694 5941 7449 7592 9932 10968 11388 11882 13943 14898 17823 19864 22776 23764 27886 29796 33361 35646 41829 47528 55772 59592 66722 71292 83658 87287 100083 111544 133444 142584 167316 174574 181259 200166 261861 266888 334632 349148 362518 400332 433693 523722 543777 698296 725036 800664 867386 1047444 1087554 1134731 1301079 1450072 1734772 2094888 2175108 2269462 2602158 3404193 3469544 4350216 4538924 5204316 6371951 6808386 9077848 10408632 12743902 13616772 19115853 25487804 27233544 38231706 50975608 76463412 82835363 152926824 165670726 248506089 331341452 497012178 662682904 994024356 1988048712