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991827000090 = 232513997787333
BaseRepresentation
bin11100110111011010111…
…11101111101100011010
310111211002010111000022200
432123231133233230122
5112222230203000330
62035350010431030
7131441253253653
oct16335537575432
93454063430280
10991827000090
113526a4537113
12140280a32476
13726b4c62b14
143600cbc852a
151abede96a60
hexe6ed7efb1a

991827000090 has 48 divisors (see below), whose sum is σ = 2578937711688. Its totient is φ = 264467968128.

The previous prime is 991827000089. The next prime is 991827000097. The reversal of 991827000090 is 90000728199.

It can be written as a sum of positive squares in 4 ways, for example, as 957499433361 + 34327566729 = 978519^2 + 185277^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (991827000097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 866064 + ... + 1653396.

Almost surely, 2991827000090 is an apocalyptic number.

991827000090 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

991827000090 is an abundant number, since it is smaller than the sum of its proper divisors (1587110711598).

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

991827000090 is a wasteful number, since it uses less digits than its factorization.

991827000090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801343 (or 801340 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 991827000090 in words is "nine hundred ninety-one billion, eight hundred twenty-seven million, ninety", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 13997 27994 41991 69985 83982 125973 139970 209955 251946 419910 629865 787333 1259730 1574666 2361999 3936665 4723998 7085997 7873330 11809995 14171994 23619990 35429985 70859970 11020300001 22040600002 33060900003 55101500005 66121800006 99182700009 110203000010 165304500015 198365400018 330609000030 495913500045 991827000090