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1881136992 = 25373119001
BaseRepresentation
bin111000000011111…
…1101111101100000
311212002200122211110
41300013331331200
512323032340432
6510355143320
764421254260
oct16007757540
94762618743
101881136992
11885942079
12445ba4b40
1323c95ab17
1413bb977a0
15b0233dcc
hex701fdf60

1881136992 has 96 divisors (see below), whose sum is σ = 5662185984. Its totient is φ = 535680000.

The previous prime is 1881136967. The next prime is 1881137021. The reversal of 1881136992 is 2996311881.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 204492 + ... + 213492.

It is an arithmetic number, because the mean of its divisors is an integer number (58981104).

Almost surely, 21881136992 is an apocalyptic number.

1881136992 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 1881136992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2831092992).

1881136992 is an abundant number, since it is smaller than the sum of its proper divisors (3781048992).

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

1881136992 is a wasteful number, since it uses less digits than its factorization.

1881136992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9332 (or 9324 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 1881136992 is about 43372.0761781126. The cubic root of 1881136992 is about 1234.4499163649.

The spelling of 1881136992 in words is "one billion, eight hundred eighty-one million, one hundred thirty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 311 336 622 672 933 1244 1866 2177 2488 3732 4354 4976 6531 7464 8708 9001 9952 13062 14928 17416 18002 26124 27003 29856 34832 36004 52248 54006 63007 69664 72008 104496 108012 126014 144016 189021 208992 216024 252028 288032 378042 432048 504056 756084 864096 1008112 1512168 2016224 2799311 3024336 5598622 6048672 8397933 11197244 16795866 19595177 22394488 33591732 39190354 44788976 58785531 67183464 78380708 89577952 117571062 134366928 156761416 235142124 268733856 313522832 470284248 627045664 940568496 1881136992