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74500466040 = 233557111321931
BaseRepresentation
bin100010101100010010…
…0101110010101111000
321010022001202210200000
41011120210232111320
52210034104403130
654120335313000
75245122340620
oct1053044562570
9233261683600
1074500466040
11296606308a0
121253207b760
137043955300
14386a603880
151e10792260
hex115892e578

74500466040 has 2304 divisors, whose sum is σ = 368337715200. Its totient is φ = 13101004800.

The previous prime is 74500466039. The next prime is 74500466041. The reversal of 74500466040 is 4066400547.

74500466040 is a `hidden beast` number, since 7 + 4 + 5 + 0 + 0 + 46 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (74500466039) and next prime (74500466041).

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 = 74500465986 and 74500466004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74500466041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2403240825 + ... + 2403240855.

It is an arithmetic number, because the mean of its divisors is an integer number (159868800).

Almost surely, 274500466040 is an apocalyptic number.

74500466040 is a gapful number since it is divisible by the number (70) 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 74500466040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184168857600).

74500466040 is an abundant number, since it is smaller than the sum of its proper divisors (293837249160).

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

74500466040 is a wasteful number, since it uses less digits than its factorization.

74500466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 74500466040 its reverse (4066400547), we get a palindrome (78566866587).

The spelling of 74500466040 in words is "seventy-four billion, five hundred million, four hundred sixty-six thousand, forty".