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46069228656 = 24331137594441
BaseRepresentation
bin101010111001111100…
…001010010001110000
311101220122101022001000
4222321330022101300
51223322210304111
633055223242000
73220431660663
oct527174122160
9141818338030
1046069228656
11185a09733a0
128b185a9300
1344625a9a19
14233067b6da
1512e9746c56
hexab9f0a470

46069228656 has 320 divisors, whose sum is σ = 150701068800. Its totient is φ = 13349836800.

The previous prime is 46069228651. The next prime is 46069228661. The reversal of 46069228656 is 65682296064.

It is a happy number.

46069228656 is a `hidden beast` number, since 4 + 606 + 9 + 2 + 28 + 6 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (46069228651) and next prime (46069228661).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46069228651) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10371396 + ... + 10375836.

It is an arithmetic number, because the mean of its divisors is an integer number (470940840).

Almost surely, 246069228656 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 46069228656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75350534400).

46069228656 is an abundant number, since it is smaller than the sum of its proper divisors (104631840144).

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

46069228656 is a wasteful number, since it uses less digits than its factorization.

46069228656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4565 (or 4553 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46069228656 in words is "forty-six billion, sixty-nine million, two hundred twenty-eight thousand, six hundred fifty-six".