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73434045804 = 22373291913221
BaseRepresentation
bin100010001100100000…
…0101001110101101100
321000112202010001010020
41010121000221311230
52200343103431204
653422442242140
75206523043000
oct1043100516554
9230482101106
1073434045804
1129163671559
1212294ab6350
136c03a30b12
1437a8b26700
151d9bd40bd9
hex1119029d6c

73434045804 has 192 divisors, whose sum is σ = 207857664000. Its totient is φ = 20145350400.

The previous prime is 73434045779. The next prime is 73434045827. The reversal of 73434045804 is 40854043437.

It is a super-3 number, since 3×734340458043 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22796914 + ... + 22800134.

It is an arithmetic number, because the mean of its divisors is an integer number (1082592000).

Almost surely, 273434045804 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 73434045804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103928832000).

73434045804 is an abundant number, since it is smaller than the sum of its proper divisors (134423618196).

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

73434045804 is a wasteful number, since it uses less digits than its factorization.

73434045804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3469 (or 3453 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 73434045804 in words is "seventy-three billion, four hundred thirty-four million, forty-five thousand, eight hundred four".