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12428004051840 = 273513497916829
BaseRepresentation
bin1011010011011001111011…
…0001000100101110000000
31122000002211222012201000110
42310312132301010232000
53112110023014124330
642233202442151320
72421615345304356
oct264663661045600
948002758181013
1012428004051840
113a617613208a3
1214887694b2540
136c1c56a36cb0
1430d7390a77d6
151684330d0db0
hexb4d9ec44b80

12428004051840 has 128 divisors (see below), whose sum is σ = 42661513994400. Its totient is φ = 3059200991232.

The previous prime is 12428004051769. The next prime is 12428004051851. The reversal of 12428004051840 is 4815040082421.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 248933455 + ... + 248983374.

Almost surely, 212428004051840 is an apocalyptic number.

12428004051840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12428004051840 is an abundant number, since it is smaller than the sum of its proper divisors (30233509942560).

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

12428004051840 is a wasteful number, since it uses less digits than its factorization.

12428004051840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497916864 (or 497916852 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The spelling of 12428004051840 in words is "twelve trillion, four hundred twenty-eight billion, four million, fifty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4992 6240 8320 12480 24960 497916829 995833658 1493750487 1991667316 2489584145 2987500974 3983334632 4979168290 5975001948 6472918777 7468752435 7966669264 9958336580 11950003896 12945837554 14937504870 15933338528 19418756331 19916673160 23900007792 25891675108 29875009740 31866677056 32364593885 38837512662 39833346320 47800015584 51783350216 59750019480 63733354112 64729187770 77675025324 79666692640 95600031168 97093781655 103566700432 119500038960 129458375540 155350050648 159333385280 191200062336 194187563310 207133400864 239000077920 258916751080 310700101296 318666770560 388375126620 414266801728 478000155840 517833502160 621400202592 776750253240 828533603456 956000311680 1035667004320 1242800405184 1553500506480 2071334008640 2485600810368 3107001012960 4142668017280 6214002025920 12428004051840