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4289248646496 = 2532111353929497
BaseRepresentation
bin111110011010101011001…
…001000101010101100000
3120012001022010001101022100
4332122223021011111200
51030233340123141441
613042241552210400
7621613402636512
oct76325311052540
916161263041270
104289248646496
111404073049950
12593350839a00
1325162238a2b8
1410b85a617bb2
157688e842cb6
hex3e6ab245560

4289248646496 has 72 divisors (see below), whose sum is σ = 13306419106344. Its totient is φ = 1299772316160.

The previous prime is 4289248646479. The next prime is 4289248646509. The reversal of 4289248646496 is 6946468429824.

4289248646496 is a `hidden beast` number, since 4 + 2 + 8 + 92 + 4 + 8 + 6 + 46 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676961581 + ... + 676967916.

It is an arithmetic number, because the mean of its divisors is an integer number (184811376477).

Almost surely, 24289248646496 is an apocalyptic number.

It is an amenable number.

4289248646496 is an abundant number, since it is smaller than the sum of its proper divisors (9017170459848).

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

4289248646496 is a wasteful number, since it uses less digits than its factorization.

4289248646496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1353929524 (or 1353929513 counting only the distinct ones).

The product of its digits is 1146617856, while the sum is 72.

The spelling of 4289248646496 in words is "four trillion, two hundred eighty-nine billion, two hundred forty-eight million, six hundred forty-six thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 1353929497 2707858994 4061788491 5415717988 8123576982 10831435976 12185365473 14893224467 16247153964 21662871952 24370730946 29786448934 32494307928 43325743904 44679673401 48741461892 59572897868 64988615856 89359346802 97482923784 119145795736 129977231712 134039020203 178718693604 194965847568 238291591472 268078040406 357437387208 389931695136 476583182944 536156080812 714874774416 1072312161624 1429749548832 2144624323248 4289248646496