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4291693486080 = 2133571113233741
BaseRepresentation
bin111110011100111100110…
…111011010000000000000
3120012021121111110002201120
4332130330313122000000
51030303342013023310
613043324325432240
7622031110505640
oct76347467320000
916167544402646
104291693486080
1114051080a8030
1259391356b680
13251921a45540
1410ba0d1ca520
15769842c4b70
hex3e73cdda000

4291693486080 has 3584 divisors, whose sum is σ = 20241750638592. Its totient is φ = 747424972800.

The previous prime is 4291693486033. The next prime is 4291693486109. The reversal of 4291693486080 is 806843961924.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 104675450860 + ... + 104675450900.

It is an arithmetic number, because the mean of its divisors is an integer number (5647809888).

Almost surely, 24291693486080 is an apocalyptic number.

4291693486080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4291693486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10120875319296).

4291693486080 is an abundant number, since it is smaller than the sum of its proper divisors (15950057152512).

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

4291693486080 is a wasteful number, since it uses less digits than its factorization.

4291693486080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 4291693486080 in words is "four trillion, two hundred ninety-one billion, six hundred ninety-three million, four hundred eighty-six thousand, eighty".