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2992396580352 = 293317103181683
BaseRepresentation
bin101011100010111000101…
…111000011011000000000
3101121001220021002112112000
4223202320233003120000
5343011412011032402
610210404335504000
7426123243153624
oct53427057033000
911531807075460
102992396580352
11a54082948a93
12403b43688000
13189249501a1a
14a4b93183184
1552c8be83c1c
hex2b8b8bc3600

2992396580352 has 640 divisors, whose sum is σ = 9536059653120. Its totient is φ = 923186626560.

The previous prime is 2992396580351. The next prime is 2992396580377. The reversal of 2992396580352 is 2530856932992.

2992396580352 is a `hidden beast` number, since 29 + 9 + 23 + 9 + 6 + 580 + 3 + 5 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2992396580352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2992396580351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4381253803 + ... + 4381254485.

It is an arithmetic number, because the mean of its divisors is an integer number (14900093208).

Almost surely, 22992396580352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992396580352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768029826560).

2992396580352 is an abundant number, since it is smaller than the sum of its proper divisors (6543663072768).

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

2992396580352 is a wasteful number, since it uses less digits than its factorization.

2992396580352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 2992396580352 in words is "two trillion, nine hundred ninety-two billion, three hundred ninety-six million, five hundred eighty thousand, three hundred fifty-two".