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1992991776 = 253197913831
BaseRepresentation
bin111011011001010…
…1010010000100000
312010220011110202020
41312302222100200
513040201214101
6525432421440
7100250102436
oct16662522040
95126143666
101992991776
11932aa0246
12477547880
13259b92499
1414c992d56
15b9e7b136
hex76caa420

1992991776 has 96 divisors (see below), whose sum is σ = 5577062400. Its totient is φ = 621354240.

The previous prime is 1992991727. The next prime is 1992991783. The reversal of 1992991776 is 6771992991.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137181 + ... + 151011.

It is an arithmetic number, because the mean of its divisors is an integer number (58094400).

Almost surely, 21992991776 is an apocalyptic number.

1992991776 is a gapful number since it is divisible by the number (16) 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 1992991776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788531200).

1992991776 is an abundant number, since it is smaller than the sum of its proper divisors (3584070624).

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

1992991776 is a wasteful number, since it uses less digits than its factorization.

1992991776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13942 (or 13934 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 60.

The square root of 1992991776 is about 44642.9364625581. The cubic root of 1992991776 is about 1258.4476927930.

The spelling of 1992991776 in words is "one billion, nine hundred ninety-two million, nine hundred ninety-one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 79 96 114 152 158 228 237 304 316 456 474 608 632 912 948 1264 1501 1824 1896 2528 3002 3792 4503 6004 7584 9006 12008 13831 18012 24016 27662 36024 41493 48032 55324 72048 82986 110648 144096 165972 221296 262789 331944 442592 525578 663888 788367 1051156 1092649 1327776 1576734 2102312 2185298 3153468 3277947 4204624 4370596 6306936 6555894 8409248 8741192 12613872 13111788 17482384 20760331 25227744 26223576 34964768 41520662 52447152 62280993 83041324 104894304 124561986 166082648 249123972 332165296 498247944 664330592 996495888 1992991776