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73434370004 = 22433400110597
BaseRepresentation
bin100010001100100000…
…1111000111111010100
321000112202201111211122
41010121001320333110
52200343144320004
653422453223112
75206525563122
oct1043101707724
9230482644748
1073434370004
1129163873096
1212295031a98
136c03b15558
1437a8bac912
151d9bda6cbe
hex1119078fd4

73434370004 has 24 divisors (see below), whose sum is σ = 128851289448. Its totient is φ = 36619776000.

The previous prime is 73434369997. The next prime is 73434370007. The reversal of 73434370004 is 40007343437.

It can be written as a sum of positive squares in 4 ways, for example, as 12455006404 + 60979363600 = 111602^2 + 246940^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73434370007) 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 7 ways as a sum of consecutive naturals, for example, 6924434 + ... + 6935030.

It is an arithmetic number, because the mean of its divisors is an integer number (5368803727).

Almost surely, 273434370004 is an apocalyptic number.

It is an amenable number.

73434370004 is a deficient number, since it is larger than the sum of its proper divisors (55416919444).

73434370004 is a wasteful number, since it uses less digits than its factorization.

73434370004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15035 (or 15033 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 35.

The spelling of 73434370004 in words is "seventy-three billion, four hundred thirty-four million, three hundred seventy thousand, four".

Divisors: 1 2 4 433 866 1732 4001 8002 10597 16004 21194 42388 1732433 3464866 4588501 6929732 9177002 18354004 42398597 84797194 169594388 18358592501 36717185002 73434370004