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40663264950 = 233527211294147
BaseRepresentation
bin100101110111101110…
…000010111010110110
310212221220002212222000
4211313232002322312
51131234243434300
630402550520130
72636450022600
oct456756027266
9125856085860
1040663264950
11162773978a0
127a6a066046
133ab05cc229
141d7a702170
1510ced4ec00
hex977b82eb6

40663264950 has 1152 divisors, whose sum is σ = 153890150400. Its totient is φ = 7789824000.

The previous prime is 40663264931. The next prime is 40663264963. The reversal of 40663264950 is 5946236604.

40663264950 is a `hidden beast` number, since 4 + 0 + 6 + 632 + 6 + 4 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×406632649502 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 40663264896 and 40663264905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 865175827 + ... + 865175873.

It is an arithmetic number, because the mean of its divisors is an integer number (133585200).

Almost surely, 240663264950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40663264950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76945075200).

40663264950 is an abundant number, since it is smaller than the sum of its proper divisors (113226885450).

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

40663264950 is a wasteful number, since it uses less digits than its factorization.

40663264950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 40663264950 in words is "forty billion, six hundred sixty-three million, two hundred sixty-four thousand, nine hundred fifty".