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74144063461 = 132451397213
BaseRepresentation
bin100010100001101010…
…1001001111111100101
321002101020010200020111
41011003111021333211
52203321340012321
654021124333021
75233234066216
oct1050325117745
9232336120214
1074144063461
1129498433306
1212452844171
136cb7b69b00
14383514b40d
151dde3415e1
hex1143549fe5

74144063461 has 12 divisors (see below), whose sum is σ = 80304791268. Its totient is φ = 68424804864.

The previous prime is 74144063443. The next prime is 74144063467. The reversal of 74144063461 is 16436044147.

It can be written as a sum of positive squares in 6 ways, for example, as 39692991361 + 34451072100 = 199231^2 + 185610^2 .

It is not a de Polignac number, because 74144063461 - 225 = 74110509029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74144063467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 714091 + ... + 811303.

It is an arithmetic number, because the mean of its divisors is an integer number (6692065939).

Almost surely, 274144063461 is an apocalyptic number.

It is an amenable number.

74144063461 is a deficient number, since it is larger than the sum of its proper divisors (6160727807).

74144063461 is a wasteful number, since it uses less digits than its factorization.

74144063461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101752 (or 101739 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The spelling of 74144063461 in words is "seventy-four billion, one hundred forty-four million, sixty-three thousand, four hundred sixty-one".

Divisors: 1 13 169 4513 58669 97213 762697 1263769 16428997 438722269 5703389497 74144063461