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2127203488720 = 24541648537649
BaseRepresentation
bin11110111101000111001…
…101010101001111010000
321112100200110122121022001
4132331013031111033100
5234323003043114340
64305120201123344
7306454041214222
oct36750715251720
97470613577261
102127203488720
11750161a05672
122a4324189554
13125795c608ab
1474d587a2412
153a50059529a
hex1ef473553d0

2127203488720 has 40 divisors (see below), whose sum is σ = 5066376121800. Its totient is φ = 830128189440.

The previous prime is 2127203488717. The next prime is 2127203488723. The reversal of 2127203488720 is 278843027212.

It is an interprime number because it is at equal distance from previous prime (2127203488717) and next prime (2127203488723).

It can be written as a sum of positive squares in 4 ways, for example, as 240107840064 + 1887095648656 = 490008^2 + 1373716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×21272034887203 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127203488723) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 324265545 + ... + 324272104.

It is an arithmetic number, because the mean of its divisors is an integer number (126659403045).

Almost surely, 22127203488720 is an apocalyptic number.

2127203488720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2127203488720 is an abundant number, since it is smaller than the sum of its proper divisors (2939172633080).

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

2127203488720 is a wasteful number, since it uses less digits than its factorization.

2127203488720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648537703 (or 648537697 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 46.

The spelling of 2127203488720 in words is "two trillion, one hundred twenty-seven billion, two hundred three million, four hundred eighty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 648537649 1297075298 2594150596 3242688245 5188301192 6485376490 10376602384 12970752980 25941505960 26590043609 51883011920 53180087218 106360174436 132950218045 212720348872 265900436090 425440697744 531800872180 1063601744360 2127203488720