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4290106153632 = 2531318973181183
BaseRepresentation
bin111110011011011110010…
…000001101101010100000
3120012010111212121020221220
4332123132100031222200
51030242114133404012
613042503023415040
7621643554425355
oct76333620155240
916163455536856
104290106153632
111404473098732
1259354ba54480
1325172ac26580
1410b8dc47262c
15768dec7908c
hex3e6de40daa0

4290106153632 has 96 divisors (see below), whose sum is σ = 12128506242048. Its totient is φ = 1319955803136.

The previous prime is 4290106153589. The next prime is 4290106153673. The reversal of 4290106153632 is 2363516010924.

4290106153632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23587713 + ... + 23768895.

It is an arithmetic number, because the mean of its divisors is an integer number (126338606688).

Almost surely, 24290106153632 is an apocalyptic number.

It is an amenable number.

4290106153632 is an abundant number, since it is smaller than the sum of its proper divisors (7838400088416).

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

4290106153632 is a wasteful number, since it uses less digits than its factorization.

4290106153632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200182 (or 200174 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 4290106153632 in words is "four trillion, two hundred ninety billion, one hundred six million, one hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 18973 37946 56919 75892 113838 151784 181183 227676 246649 303568 362366 455352 493298 543549 607136 724732 739947 910704 986596 1087098 1449464 1479894 1821408 1973192 2174196 2355379 2898928 2959788 3946384 4348392 4710758 5797856 5919576 7066137 7892768 8696784 9421516 11839152 14132274 17393568 18843032 23678304 28264548 37686064 56529096 75372128 113058192 226116384 3437585059 6875170118 10312755177 13750340236 20625510354 27500680472 41251020708 44688605767 55001360944 82502041416 89377211534 110002721888 134065817301 165004082832 178754423068 268131634602 330008165664 357508846136 536263269204 715017692272 1072526538408 1430035384544 2145053076816 4290106153632