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2740553325432 = 233613299671289
BaseRepresentation
bin100111111000010101101…
…101010001101101111000
3100200222211212120122000000
4213320111231101231320
5324400123122403212
65454554240513000
7401666315624046
oct47702555215570
910628755518000
102740553325432
119672979a706a
1238317991b760
1316b5825b9860
1496901a39396
154b44c41a1dc
hex27e15b51b78

2740553325432 has 448 divisors, whose sum is σ = 8598561048000. Its totient is φ = 812696758272.

The previous prime is 2740553325401. The next prime is 2740553325487. The reversal of 2740553325432 is 2345233550472.

2740553325432 is a `hidden beast` number, since 2 + 7 + 40 + 553 + 3 + 2 + 54 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2126107444 + ... + 2126108732.

It is an arithmetic number, because the mean of its divisors is an integer number (19193216625).

Almost surely, 22740553325432 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 2740553325432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299280524000).

2740553325432 is an abundant number, since it is smaller than the sum of its proper divisors (5858007722568).

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

2740553325432 is a wasteful number, since it uses less digits than its factorization.

2740553325432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 45.

The spelling of 2740553325432 in words is "two trillion, seven hundred forty billion, five hundred fifty-three million, three hundred twenty-five thousand, four hundred thirty-two".