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2127642318736 = 24112331512
BaseRepresentation
bin11110111101100001010…
…111010101011110010000
321112101211001101110220121
4132331201113111132100
5234324402413144421
64305231514520024
7306500650212064
oct36754127253620
97471731343817
102127642318736
11750367692100
122a4427136014
13125835b4931c
1474d9ab93aa4
153a528d78d41
hex1ef615d5790

2127642318736 has 45 divisors (see below), whose sum is σ = 4531267512219. Its totient is φ = 967080972000.

The previous prime is 2127642318719. The next prime is 2127642318751. The reversal of 2127642318736 is 6378132467212.

The square root of 2127642318736 is 1458644.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 64163761 + ... + 64196911.

Almost surely, 22127642318736 is an apocalyptic number.

2127642318736 is the 1458644-th square number.

It is an amenable number.

2127642318736 is an abundant number, since it is smaller than the sum of its proper divisors (2403625193483).

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

2127642318736 is an frugal number, since it uses more digits than its factorization.

2127642318736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66332 (or 33164 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 52.

The spelling of 2127642318736 in words is "two trillion, one hundred twenty-seven billion, six hundred forty-two million, three hundred eighteen thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 33151 66302 132604 265208 364661 530416 729322 1458644 2917288 4011271 5834576 8022542 16045084 32090168 64180336 1098988801 2197977602 4395955204 8791910408 12088876811 17583820816 24177753622 48355507244 96711014488 132977644921 193422028976 265955289842 531910579684 1063821159368 2127642318736