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55946050272 = 2533721321477
BaseRepresentation
bin110100000110101001…
…001111101011100000
312100101222100211012000
4310012221033223200
51404034142102042
641411250004000
74020252403200
oct640651175340
9170358324160
1055946050272
11217aa0a5692
12aa14276600
1353778c9678
1429ca2d8400
1516c68c274c
hexd06a4fae0

55946050272 has 144 divisors (see below), whose sum is σ = 189817099920. Its totient is φ = 15984573696.

The previous prime is 55946050249. The next prime is 55946050283. The reversal of 55946050272 is 27205064955.

55946050272 is a `hidden beast` number, since 5 + 594 + 6 + 0 + 50 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 618403 + ... + 703074.

It is an arithmetic number, because the mean of its divisors is an integer number (1318174305).

Almost surely, 255946050272 is an apocalyptic number.

It is an amenable number.

55946050272 is an abundant number, since it is smaller than the sum of its proper divisors (133871049648).

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

55946050272 is a wasteful number, since it uses less digits than its factorization.

55946050272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321510 (or 1321489 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 55946050272 in words is "fifty-five billion, nine hundred forty-six million, fifty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 378 392 432 441 504 588 672 756 784 864 882 1008 1176 1323 1512 1568 1764 2016 2352 2646 3024 3528 4704 5292 6048 7056 10584 14112 21168 42336 1321477 2642954 3964431 5285908 7928862 9250339 10571816 11893293 15857724 18500678 21143632 23786586 27751017 31715448 35679879 37001356 42287264 47573172 55502034 63430896 64752373 71359758 74002712 83253051 95146344 111004068 126861792 129504746 142719516 148005424 166506102 190292688 194257119 222008136 249759153 259009492 285439032 296010848 333012204 380585376 388514238 444016272 499518306 518018984 570878064 582771357 666024408 777028476 888032544 999036612 1036037968 1141756128 1165542714 1332048816 1554056952 1748314071 1998073224 2072075936 2331085428 2664097632 3108113904 3496628142 3996146448 4662170856 6216227808 6993256284 7992292896 9324341712 13986512568 18648683424 27973025136 55946050272