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46440266040 = 23325728365119
BaseRepresentation
bin101011010000000011…
…100011100100111000
311102212111112221122100
4223100003203210320
51230102202003130
633200120023400
73232555514430
oct532003434470
9142774487570
1046440266040
1118771357263
129000901b60
1344c141a57c
142367a632c0
15131c0d8c60
hexad00e3938

46440266040 has 192 divisors, whose sum is σ = 173104588800. Its totient is φ = 10577246976.

The previous prime is 46440266017. The next prime is 46440266053. The reversal of 46440266040 is 4066204464.

It is a happy number.

46440266040 is a `hidden beast` number, since 4 + 6 + 4 + 40 + 2 + 6 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 46440265986 and 46440266004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680601 + ... + 745719.

It is an arithmetic number, because the mean of its divisors is an integer number (901586400).

Almost surely, 246440266040 is an apocalyptic number.

46440266040 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 46440266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86552294400).

46440266040 is an abundant number, since it is smaller than the sum of its proper divisors (126664322760).

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

46440266040 is a wasteful number, since it uses less digits than its factorization.

46440266040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65426 (or 65419 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 46440266040 in words is "forty-six billion, four hundred forty million, two hundred sixty-six thousand, forty".