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3463463428488 = 2332732341148721
BaseRepresentation
bin110010011001100110100…
…000011110000110001000
3110021002210201110211220100
4302121212200132012020
5423221133114202423
611211032041125400
7505140565254000
oct62314640360610
913232721424810
103463463428488
1111159348a4228
1247b2aaa89860
131c17ac2cb89b
14bd8bd90b000
156015c976343
hex3266681e188

3463463428488 has 384 divisors, whose sum is σ = 11693118528000. Its totient is φ = 923444121600.

The previous prime is 3463463428441. The next prime is 3463463428507. The reversal of 3463463428488 is 8848243643643.

3463463428488 is a `hidden beast` number, since 3 + 4 + 6 + 346 + 3 + 4 + 284 + 8 + 8 = 666.

It is a super-2 number, since 2×34634634284882 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23213968 + ... + 23362688.

It is an arithmetic number, because the mean of its divisors is an integer number (30450829500).

Almost surely, 23463463428488 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 3463463428488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5846559264000).

3463463428488 is an abundant number, since it is smaller than the sum of its proper divisors (8229655099512).

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

3463463428488 is a wasteful number, since it uses less digits than its factorization.

3463463428488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148818 (or 148797 counting only the distinct ones).

The product of its digits is 254803968, while the sum is 63.

The spelling of 3463463428488 in words is "three trillion, four hundred sixty-three billion, four hundred sixty-three million, four hundred twenty-eight thousand, four hundred eighty-eight".