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2026408660240 = 24573609344117
BaseRepresentation
bin11101011111001111010…
…111100100110100010000
321011201111220101210100111
4131133033113210310100
5231200041104111430
64150530322131104
7266255203261426
oct35371727446420
97151456353314
102026408660240
11711438951128
122888941b0a94
1311912188c153
1470115d61116
1537aa16a5c2a
hex1d7cf5e4d10

2026408660240 has 40 divisors (see below), whose sum is σ = 4711477832280. Its totient is φ = 810550096896.

The previous prime is 2026408660169. The next prime is 2026408660249. The reversal of 2026408660240 is 420668046202.

It can be written as a sum of positive squares in 4 ways, for example, as 60714931216 + 1965693729024 = 246404^2 + 1402032^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2026408660193 and 2026408660202.

It is not an unprimeable number, because it can be changed into a prime (2026408660249) 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, 5716662 + ... + 6060778.

It is an arithmetic number, because the mean of its divisors is an integer number (117786945807).

Almost surely, 22026408660240 is an apocalyptic number.

2026408660240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2026408660240 is an abundant number, since it is smaller than the sum of its proper divisors (2685069172040).

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

2026408660240 is a wasteful number, since it uses less digits than its factorization.

2026408660240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417739 (or 417733 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 40.

The spelling of 2026408660240 in words is "two trillion, twenty-six billion, four hundred eight million, six hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 73609 147218 294436 344117 368045 588872 688234 736090 1177744 1376468 1472180 1720585 2752936 2944360 3441170 5505872 5888720 6882340 13764680 27529360 25330108253 50660216506 101320433012 126650541265 202640866024 253301082530 405281732048 506602165060 1013204330120 2026408660240