Search a number
-
+
74580562385472 = 26311132912993253
BaseRepresentation
bin10000111101010010100011…
…111011011001101001000000
3100210001211110121212101210210
4100331102203323121221000
534233411442432313342
6422341500512154120
721465160601345103
oct2075224373315100
9323054417771723
1074580562385472
1121844491178850
128446267538940
13327cbbc440a80
14145ba0b71873a
1589502914079c
hex43d4a3ed9a40

74580562385472 has 224 divisors, whose sum is σ = 231836038922880. Its totient is φ = 20860755886080.

The previous prime is 74580562385429. The next prime is 74580562385543. The reversal of 74580562385472 is 27458326508547.

It is a happy number.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 799719198 + ... + 799812450.

It is an arithmetic number, because the mean of its divisors is an integer number (1034982316620).

Almost surely, 274580562385472 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 74580562385472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115918019461440).

74580562385472 is an abundant number, since it is smaller than the sum of its proper divisors (157255476537408).

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

74580562385472 is a wasteful number, since it uses less digits than its factorization.

74580562385472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122421 (or 122411 counting only the distinct ones).

The product of its (nonzero) digits is 451584000, while the sum is 66.

The spelling of 74580562385472 in words is "seventy-four trillion, five hundred eighty billion, five hundred sixty-two million, three hundred eighty-five thousand, four hundred seventy-two".