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55744866430600 = 23526710141188759
BaseRepresentation
bin11001010110011000111001…
…11101100010111010001000
321022101011020120212121120211
430223030130331202322020
524301310441301234400
6314320501010330504
714512301520400024
oct1453143475427210
9238334216777524
1055744866430600
11168422a091a656
12630388ab89a34
132514945299c59
14daa0cccb5384
1566a0ba290dba
hex32b31cf62e88

55744866430600 has 96 divisors (see below), whose sum is σ = 132843636302400. Its totient is φ = 21747664224000.

The previous prime is 55744866430597. The next prime is 55744866430613. The reversal of 55744866430600 is 603466844755.

55744866430600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 19240980 + ... + 21947779.

It is an arithmetic number, because the mean of its divisors is an integer number (1383787878150).

Almost surely, 255744866430600 is an apocalyptic number.

55744866430600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55744866430600 is an abundant number, since it is smaller than the sum of its proper divisors (77098769871800).

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

55744866430600 is a wasteful number, since it uses less digits than its factorization.

55744866430600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41188943 (or 41188934 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 58.

The spelling of 55744866430600 in words is "fifty-five trillion, seven hundred forty-four billion, eight hundred sixty-six million, four hundred thirty thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 101 134 200 202 268 335 404 505 536 670 808 1010 1340 1675 2020 2525 2680 3350 4040 5050 6700 6767 10100 13400 13534 20200 27068 33835 54136 67670 135340 169175 270680 338350 676700 1353400 41188759 82377518 164755036 205943795 329510072 411887590 823775180 1029718975 1647550360 2059437950 2759646853 4118875900 4160064659 5519293706 8237751800 8320129318 11038587412 13798234265 16640258636 20800323295 22077174824 27596468530 33280517272 41600646590 55192937060 68991171325 83201293180 104001616475 110385874120 137982342650 166402586360 208003232950 275964685300 278724332153 416006465900 551929370600 557448664306 832012931800 1114897328612 1393621660765 2229794657224 2787243321530 5574486643060 6968108303825 11148973286120 13936216607650 27872433215300 55744866430600