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2992523143680 = 29325724176991
BaseRepresentation
bin101011100011000000010…
…001110110101000000000
3101121002020002020121202200
4223203000101312220000
5343012141411044210
610210425100313200
7426126341012130
oct53430021665000
911532202217680
102992523143680
11a54138332984
12403b79b42800
131892697b6175
14a4ba5ccaac0
1552c981340c0
hex2b8c0476a00

2992523143680 has 480 divisors, whose sum is σ = 11893815318528. Its totient is φ = 681158246400.

The previous prime is 2992523143609. The next prime is 2992523143693. The reversal of 2992523143680 is 863413252992.

2992523143680 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 523 + 1 + 4 + 36 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38829985 + ... + 38906975.

Almost surely, 22992523143680 is an apocalyptic number.

2992523143680 is a gapful number since it is divisible by the number (20) 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 2992523143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5946907659264).

2992523143680 is an abundant number, since it is smaller than the sum of its proper divisors (8901292174848).

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

2992523143680 is a wasteful number, since it uses less digits than its factorization.

2992523143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77268 (or 77249 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2992523143680 in words is "two trillion, nine hundred ninety-two billion, five hundred twenty-three million, one hundred forty-three thousand, six hundred eighty".