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1988627829792 = 253313471925711
BaseRepresentation
bin11100111100000011011…
…101001001010000100000
321001002222220002202011220
4130330003131021100200
5230040202211023132
64121321335535040
7263450023436622
oct34740335112040
97032886082156
101988627829792
116a741062600a
122814ab52a480
131156b04c0686
146c3703c0c12
1536ade925a2c
hex1cf03749420

1988627829792 has 96 divisors (see below), whose sum is σ = 5404071665664. Its totient is φ = 639643833600.

The previous prime is 1988627829779. The next prime is 1988627829821. The reversal of 1988627829792 is 2979287268891.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69817 + ... + 1995527.

It is an arithmetic number, because the mean of its divisors is an integer number (56292413184).

Almost surely, 21988627829792 is an apocalyptic number.

1988627829792 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 1988627829792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702035832832).

1988627829792 is an abundant number, since it is smaller than the sum of its proper divisors (3415443835872).

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

1988627829792 is a wasteful number, since it uses less digits than its factorization.

1988627829792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926102 (or 1926094 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 78.

The spelling of 1988627829792 in words is "one trillion, nine hundred eighty-eight billion, six hundred twenty-seven million, eight hundred twenty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 186 248 347 372 496 694 744 992 1041 1388 1488 2082 2776 2976 4164 5552 8328 10757 11104 16656 21514 32271 33312 43028 64542 86056 129084 172112 258168 344224 516336 1032672 1925711 3851422 5777133 7702844 11554266 15405688 23108532 30811376 46217064 59697041 61622752 92434128 119394082 179091123 184868256 238788164 358182246 477576328 668221717 716364492 955152656 1336443434 1432728984 1910305312 2004665151 2672886868 2865457968 4009330302 5345773736 5730915936 8018660604 10691547472 16037321208 20714873227 21383094944 32074642416 41429746454 62144619681 64149284832 82859492908 124289239362 165718985816 248578478724 331437971632 497156957448 662875943264 994313914896 1988627829792