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74021240832 = 215372112127
BaseRepresentation
bin100010011110000000…
…0101000000000000000
321002001200000122021020
41010330000220000000
52203043414201312
654001020025440
75230213110600
oct1047400500000
9232050018236
1074021240832
1129435073900
1212419692280
136c985951b6
143822ad8c00
151dd367e78c
hex113c028000

74021240832 has 576 divisors, whose sum is σ = 254372267520. Its totient is φ = 19074908160.

The previous prime is 74021240827. The next prime is 74021240851. The reversal of 74021240832 is 23804212047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 74021240793 and 74021240802.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 582844353 + ... + 582844479.

It is an arithmetic number, because the mean of its divisors is an integer number (441618520).

Almost surely, 274021240832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74021240832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127186133760).

74021240832 is an abundant number, since it is smaller than the sum of its proper divisors (180351026688).

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

74021240832 is a wasteful number, since it uses less digits than its factorization.

74021240832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

Adding to 74021240832 its reverse (23804212047), we get a palindrome (97825452879).

The spelling of 74021240832 in words is "seventy-four billion, twenty-one million, two hundred forty thousand, eight hundred thirty-two".