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4865949152064 = 26327211131205627
BaseRepresentation
bin100011011001111000100…
…1010111011001101000000
3122020011212100210111002100
41012303301022323031000
51114210430440331224
614203215225350400
71011360520232400
oct106636112731500
918204770714070
104865949152064
111606701494420
12667078638400
13293b1aba69c0
1412b7282cc800
1586893e41ac9
hex46cf12bb340

4865949152064 has 504 divisors, whose sum is σ = 19060949744928. Its totient is φ = 1166660167680.

The previous prime is 4865949152047. The next prime is 4865949152089. The reversal of 4865949152064 is 4602519495684.

4865949152064 is a `hidden beast` number, since 4 + 8 + 6 + 5 + 9 + 49 + 1 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×48659491520642 (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 junction number, because it is equal to n+sod(n) for n = 4865949151992 and 4865949152010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3433219 + ... + 4638845.

It is an arithmetic number, because the mean of its divisors is an integer number (37819344732).

Almost surely, 24865949152064 is an apocalyptic number.

4865949152064 is a gapful number since it is divisible by the number (44) 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 4865949152064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9530474872464).

4865949152064 is an abundant number, since it is smaller than the sum of its proper divisors (14195000592864).

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

4865949152064 is a wasteful number, since it uses less digits than its factorization.

4865949152064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205683 (or 1205663 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 4865949152064 in words is "four trillion, eight hundred sixty-five billion, nine hundred forty-nine million, one hundred fifty-two thousand, sixty-four".