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1988572992 = 26373739989
BaseRepresentation
bin111011010000111…
…0011011101000000
312010120211222022120
41312201303131000
513033033313432
6525154004240
7100164406620
oct16641633500
95116758276
101988572992
1193055235a
12475b76680
13258ca6113
1414c162880
15b98a6c2c
hex76873740

1988572992 has 112 divisors (see below), whose sum is σ = 6175735680. Its totient is φ = 552794112.

The previous prime is 1988572979. The next prime is 1988573023. The reversal of 1988572992 is 2992758891.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29734 + ... + 69722.

Almost surely, 21988572992 is an apocalyptic number.

1988572992 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 1988572992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087867840).

1988572992 is an abundant number, since it is smaller than the sum of its proper divisors (4187162688).

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

1988572992 is a wasteful number, since it uses less digits than its factorization.

1988572992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40048 (or 40038 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 60.

The square root of 1988572992 is about 44593.4187072487. The cubic root of 1988572992 is about 1257.5169441228.

The spelling of 1988572992 in words is "one billion, nine hundred eighty-eight million, five hundred seventy-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 148 168 192 222 224 259 296 336 444 448 518 592 672 777 888 1036 1184 1344 1554 1776 2072 2368 3108 3552 4144 6216 7104 8288 12432 16576 24864 39989 49728 79978 119967 159956 239934 279923 319912 479868 559846 639824 839769 959736 1119692 1279648 1479593 1679538 1919472 2239384 2559296 2959186 3359076 3838944 4438779 4478768 5918372 6718152 7677888 8877558 8957536 10357151 11836744 13436304 17755116 17915072 20714302 23673488 26872608 31071453 35510232 41428604 47346976 53745216 62142906 71020464 82857208 94693952 124285812 142040928 165714416 248571624 284081856 331428832 497143248 662857664 994286496 1988572992