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5965379947072 = 267133753522323
BaseRepresentation
bin101011011001110110001…
…0110100100101001000000
3210010021200120210122100201
41112303230112210221000
51240214044231301242
620404242511054544
71153661450630230
oct126635426445100
923107616718321
105965379947072
11199a9a3510267
12804169811454
133436c0a79190
14168a23d47cc0
15a528e9594b7
hex56cec5a4a40

5965379947072 has 224 divisors, whose sum is σ = 15245409053952. Its totient is φ = 2252820750336.

The previous prime is 5965379947049. The next prime is 5965379947081. The reversal of 5965379947072 is 2707499735695.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 5965379946986 and 5965379947004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11159703 + ... + 11682025.

It is an arithmetic number, because the mean of its divisors is an integer number (68059861848).

Almost surely, 25965379947072 is an apocalyptic number.

5965379947072 is a gapful number since it is divisible by the number (52) 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 5965379947072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622704526976).

5965379947072 is an abundant number, since it is smaller than the sum of its proper divisors (9280029106880).

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

5965379947072 is a wasteful number, since it uses less digits than its factorization.

5965379947072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522445 (or 522435 counting only the distinct ones).

The product of its (nonzero) digits is 900169200, while the sum is 73.

The spelling of 5965379947072 in words is "five trillion, nine hundred sixty-five billion, three hundred seventy-nine million, nine hundred forty-seven thousand, seventy-two".