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2920386714336 = 2532721359674027
BaseRepresentation
bin101010011111110100100…
…111001101101011100000
3101100012000202211022210100
4222133310213031223200
5340321422444324321
610113335050302400
7420663622331400
oct52376447155340
911305022738710
102920386714336
11a26590190923
123b1ba7727a00
13182511867450
14a14c1664800
1550e751b2326
hex2a7f49cdae0

2920386714336 has 864 divisors, whose sum is σ = 10740794762880. Its totient is φ = 745671370752.

The previous prime is 2920386714331. The next prime is 2920386714337. The reversal of 2920386714336 is 6334176830292.

2920386714336 is a `hidden beast` number, since 2 + 92 + 0 + 386 + 7 + 143 + 36 = 666.

It is a super-2 number, since 2×29203867143362 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2920386714331) 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 143 ways as a sum of consecutive naturals, for example, 725199555 + ... + 725203581.

It is an arithmetic number, because the mean of its divisors is an integer number (12431475420).

Almost surely, 22920386714336 is an apocalyptic number.

2920386714336 is a gapful number since it is divisible by the number (26) 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 2920386714336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370397381440).

2920386714336 is an abundant number, since it is smaller than the sum of its proper divisors (7820408048544).

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

2920386714336 is a wasteful number, since it uses less digits than its factorization.

2920386714336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 2920386714336 in words is "two trillion, nine hundred twenty billion, three hundred eighty-six million, seven hundred fourteen thousand, three hundred thirty-six".