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4217125505088 = 263191156010281
BaseRepresentation
bin111101010111100000010…
…001001000100001000000
3112221011010201122011221210
4331113200101020201000
51023043133112130323
612545153135050120
7613451205231306
oct75274021104100
915834121564853
104217125505088
111386522453261
12581382970940
1324789a111872
14108177a50276
1574a6cb48293
hex3d5e0448840

4217125505088 has 56 divisors (see below), whose sum is σ = 11745064465120. Its totient is φ = 1331723842560.

The previous prime is 4217125505051. The next prime is 4217125505093. The reversal of 4217125505088 is 8805055217124.

It is a super-2 number, since 2×42171255050882 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 578001493 + ... + 578008788.

It is an arithmetic number, because the mean of its divisors is an integer number (209733294020).

Almost surely, 24217125505088 is an apocalyptic number.

4217125505088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4217125505088 is an abundant number, since it is smaller than the sum of its proper divisors (7527938960032).

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

4217125505088 is a wasteful number, since it uses less digits than its factorization.

4217125505088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156010315 (or 1156010305 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 48.

The spelling of 4217125505088 in words is "four trillion, two hundred seventeen billion, one hundred twenty-five million, five hundred five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 1156010281 2312020562 3468030843 4624041124 6936061686 9248082248 13872123372 18496164496 21964195339 27744246744 36992328992 43928390678 55488493488 65892586017 73984657984 87856781356 110976986976 131785172034 175713562712 221953973952 263570344068 351427125424 527140688136 702854250848 1054281376272 1405708501696 2108562752544 4217125505088