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40817989674 = 232711191997789
BaseRepresentation
bin100110000000111100…
…010001100000101010
310220100200020201101100
4212000330101200222
51132043401132144
630430155102230
72643336121230
oct460074214052
9126320221340
1040817989674
1116346766870
127ab1a41976
133b06693817
141d9309a950
1510dd714269
hex980f1182a

40817989674 has 192 divisors, whose sum is σ = 116663040000. Its totient is φ = 9992315520.

The previous prime is 40817989661. The next prime is 40817989679. The reversal of 40817989674 is 47698971804.

40817989674 is a `hidden beast` number, since 408 + 1 + 79 + 8 + 96 + 74 = 666.

It is a super-2 number, since 2×408179896742 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (40817989679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5236572 + ... + 5244360.

It is an arithmetic number, because the mean of its divisors is an integer number (607620000).

Almost surely, 240817989674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40817989674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58331520000).

40817989674 is an abundant number, since it is smaller than the sum of its proper divisors (75845050326).

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

40817989674 is a wasteful number, since it uses less digits than its factorization.

40817989674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033 (or 8030 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 40817989674 in words is "forty billion, eight hundred seventeen million, nine hundred eighty-nine thousand, six hundred seventy-four".