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45863267894928 = 2434113786949199
BaseRepresentation
bin10100110110110010111111…
…10010101000011010010000
320000101111002222212221120000
422123121133302220122100
522002410433040114203
6241313143331450000
712442340350614111
oct1233313762503220
9200344088787500
1045863267894928
111368255908a1a0
125188737756900
131c78b700b66c3
14b47b18a9a208
1554801ece34a3
hex29b65fca8690

45863267894928 has 200 divisors, whose sum is σ = 148722780835200. Its totient is φ = 13522339272960.

The previous prime is 45863267894903. The next prime is 45863267894959. The reversal of 45863267894928 is 82949876236854.

45863267894928 is a `hidden beast` number, since 4 + 5 + 8 + 63 + 2 + 67 + 8 + 9 + 492 + 8 = 666.

45863267894928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42947128 + ... + 44002071.

It is an arithmetic number, because the mean of its divisors is an integer number (743613904176).

Almost surely, 245863267894928 is an apocalyptic number.

45863267894928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45863267894928 is an abundant number, since it is smaller than the sum of its proper divisors (102859512940272).

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

45863267894928 is a wasteful number, since it uses less digits than its factorization.

45863267894928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86949267 (or 86949252 counting only the distinct ones).

The product of its digits is 10032906240, while the sum is 81.

The spelling of 45863267894928 in words is "forty-five trillion, eight hundred sixty-three billion, two hundred sixty-seven million, eight hundred ninety-four thousand, nine hundred twenty-eight".