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5103476647164 = 22327221611338791
BaseRepresentation
bin100101001000011111011…
…1010011010010011111100
3200001212222001200102222200
41022100332322122103330
51132103410010202124
614504301012111500
71034466623515200
oct112207672322374
920055861612880
105103476647164
11169841057a085
126a5108005590
132b0342c54a7c
1413901c446b00
158cb46ca3bc9
hex4a43ee9a4fc

5103476647164 has 108 divisors (see below), whose sum is σ = 15013607092848. Its totient is φ = 1457460345600.

The previous prime is 5103476647099. The next prime is 5103476647201. The reversal of 5103476647164 is 4617466743015.

5103476647164 is a `hidden beast` number, since 5 + 1 + 0 + 3 + 476 + 6 + 4 + 7 + 164 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5103476647164.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 3142609 + ... + 4481399.

Almost surely, 25103476647164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5103476647164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7506803546424).

5103476647164 is an abundant number, since it is smaller than the sum of its proper divisors (9910130445684).

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

5103476647164 is a wasteful number, since it uses less digits than its factorization.

5103476647164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340976 (or 1340964 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 5103476647164 in words is "five trillion, one hundred three billion, four hundred seventy-six million, six hundred forty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2161 4322 6483 8644 12966 15127 19449 25932 30254 38898 45381 60508 77796 90762 105889 136143 181524 211778 272286 317667 423556 544572 635334 953001 1270668 1338791 1906002 2677582 3812004 4016373 5355164 8032746 9371537 12049119 16065492 18743074 24098238 28114611 37486148 48196476 56229222 65600759 84343833 112458444 131201518 168687666 196802277 262403036 337375332 393604554 590406831 787209108 1180813662 2361627324 2893127351 5786254702 8679382053 11572509404 17358764106 20251891457 26038146159 34717528212 40503782914 52076292318 60755674371 81007565828 104152584636 121511348742 141763240199 182267023113 243022697484 283526480398 364534046226 425289720597 567052960796 729068092452 850579441194 1275869161791 1701158882388 2551738323582 5103476647164