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13146406220 = 2253160135281
BaseRepresentation
bin11000011111001011…
…00011110101001100
31020221012021122001002
430033211203311030
5203410434444340
610012301035432
7643531415633
oct141745436514
936835248032
1013146406220
115636892632
12266a855b78
131316812bbc
148c9d9a51a
1551e221715
hex30f963d4c

13146406220 has 48 divisors (see below), whose sum is σ = 28546242816. Its totient is φ = 5080320000.

The previous prime is 13146406183. The next prime is 13146406279. The reversal of 13146406220 is 2260464131.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 354980 + ... + 390260.

It is an arithmetic number, because the mean of its divisors is an integer number (594713392).

Almost surely, 213146406220 is an apocalyptic number.

13146406220 is a gapful number since it is divisible by the number (10) 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 13146406220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14273121408).

13146406220 is an abundant number, since it is smaller than the sum of its proper divisors (15399836596).

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

13146406220 is a wasteful number, since it uses less digits than its factorization.

13146406220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35922 (or 35920 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The spelling of 13146406220 in words is "thirteen billion, one hundred forty-six million, four hundred six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 601 620 1202 2404 3005 6010 12020 18631 35281 37262 70562 74524 93155 141124 176405 186310 352810 372620 705620 1093711 2187422 4374844 5468555 10937110 21203881 21874220 42407762 84815524 106019405 212038810 424077620 657320311 1314640622 2629281244 3286601555 6573203110 13146406220