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40977976950 = 235524773983
BaseRepresentation
bin100110001010011110…
…100100111001110110
310220202211021220200000
4212022132210321312
51132410330230300
630454112132130
72650321025361
oct461236447166
9126684256600
1040977976950
1116418aaa659
127b37537046
133b3087b551
141daa4250d8
1510ec7b7c00
hex98a7a4e76

40977976950 has 288 divisors, whose sum is σ = 118318427136. Its totient is φ = 10537724160.

The previous prime is 40977976909. The next prime is 40977976969. The reversal of 40977976950 is 5967977904.

40977976950 is a `hidden beast` number, since 409 + 7 + 79 + 76 + 95 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41686159 + ... + 41687141.

It is an arithmetic number, because the mean of its divisors is an integer number (410827872).

Almost surely, 240977976950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40977976950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59159213568).

40977976950 is an abundant number, since it is smaller than the sum of its proper divisors (77340450186).

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

40977976950 is a wasteful number, since it uses less digits than its factorization.

40977976950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 40977976950 in words is "forty billion, nine hundred seventy-seven million, nine hundred seventy-six thousand, nine hundred fifty".