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5345051832144 = 24344124268389
BaseRepresentation
bin100110111000111110111…
…1010100110111101010000
3200220222111212000100120000
41031301331322212331100
51200033131232112034
615211252150450000
71061111236641063
oct115617572467520
920828455010500
105345051832144
111780907461092
12723aa7063900
132ca0617812cb
141469b7daa8da
159408515b599
hex4dc7dea6f50

5345051832144 has 50 divisors (see below), whose sum is σ = 15470130730890. Its totient is φ = 1781683943616.

The previous prime is 5345051832121. The next prime is 5345051832163. The reversal of 5345051832144 is 4412381505435.

5345051832144 is a `hidden beast` number, since 5 + 3 + 4 + 505 + 1 + 83 + 21 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5231558307600 + 113493524544 = 2287260^2 + 336888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5345051832144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2062132899 + ... + 2062135490.

Almost surely, 25345051832144 is an apocalyptic number.

5345051832144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5345051832144 is an abundant number, since it is smaller than the sum of its proper divisors (10125078898746).

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

5345051832144 is a wasteful number, since it uses less digits than its factorization.

5345051832144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124268409 (or 4124268394 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5345051832144 in words is "five trillion, three hundred forty-five billion, fifty-one million, eight hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4124268389 8248536778 12372805167 16497073556 24745610334 32994147112 37118415501 49491220668 65988294224 74236831002 98982441336 111355246503 148473662004 197964882672 222710493006 296947324008 334065739509 445420986012 593894648016 668131479018 890841972024 1336262958036 1781683944048 2672525916072 5345051832144