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12604416322420 = 22513172851677901
BaseRepresentation
bin1011011101101011000111…
…0000011110101101110100
31122121222012110000120201201
42313122301300132231310
53123002321034304140
642450220001302244
72440432121000056
oct267326160365564
948558173016651
1012604416322420
11401a55946583a
1214b69a1634984
1370578c2a6610
143180b25c98d6
1516cd0a84d49a
hexb76b1c1eb74

12604416322420 has 48 divisors (see below), whose sum is σ = 30182158914768. Its totient is φ = 4380177254400.

The previous prime is 12604416322411. The next prime is 12604416322439. The reversal of 12604416322420 is 2422361440621.

It can be written as a sum of positive squares in 8 ways, for example, as 2532006547984 + 10072409774436 = 1591228^2 + 3173706^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12604416322420.

It is a congruent number.

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, 1425834531 + ... + 1425843370.

It is an arithmetic number, because the mean of its divisors is an integer number (628794977391).

Almost surely, 212604416322420 is an apocalyptic number.

12604416322420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12604416322420 is an abundant number, since it is smaller than the sum of its proper divisors (17577742592348).

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

12604416322420 is a wasteful number, since it uses less digits than its factorization.

12604416322420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2851677940 (or 2851677938 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

The spelling of 12604416322420 in words is "twelve trillion, six hundred four billion, four hundred sixteen million, three hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 2851677901 5703355802 11406711604 14258389505 28516779010 37071812713 48478524317 57033558020 74143625426 96957048634 148287250852 185359063565 193914097268 242392621585 370718127130 484785243170 630220816121 741436254260 969570486340 1260441632242 2520883264484 3151104080605 6302208161210 12604416322420