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4312992720960 = 2632571119448921
BaseRepresentation
bin111110110000110010011…
…001100010100001000000
3120021022120212201100011200
4332300302121202201000
51031131002114032320
613101210030141200
7623413660145430
oct76606231424100
916238525640150
104312992720960
111413147a51490
12597a78651800
1325393764aac1
1410ca6dc742c0
15772ce12e290
hex3ec32662840

4312992720960 has 336 divisors, whose sum is σ = 18495458047872. Its totient is φ = 896206233600.

The previous prime is 4312992720947. The next prime is 4312992720961. The reversal of 4312992720960 is 690272992134.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×43129927209602 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4312992720897 and 4312992720906.

It is not an unprimeable number, because it can be changed into a prime (4312992720961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9502701 + ... + 9946220.

Almost surely, 24312992720960 is an apocalyptic number.

4312992720960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4312992720960 is an abundant number, since it is smaller than the sum of its proper divisors (14182465326912).

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

4312992720960 is a wasteful number, since it uses less digits than its factorization.

4312992720960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19448962 (or 19448949 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 4312992720960 in words is "four trillion, three hundred twelve billion, nine hundred ninety-two million, seven hundred twenty thousand, nine hundred sixty".