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73428633682437 = 3114097499725479
BaseRepresentation
bin10000101100100001101111…
…101000001000001000000101
3100121222201010201210012021110
4100230201233220020020011
534111023320210314222
6420100352034235233
721316020665050635
oct2054415750101005
9317881121705243
1073428633682437
112143a9aa484660
12829ab64a25b19
1331c83a11526a7
14141bd717046c5
158750a981c30c
hex42c86fa08205

73428633682437 has 32 divisors (see below), whose sum is σ = 107080848000000. Its totient is φ = 44387413799040.

The previous prime is 73428633682307. The next prime is 73428633682457.

73428633682437 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 73428633682437 - 214 = 73428633666053 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73428633682457) 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 31 ways as a sum of consecutive naturals, for example, 100851264 + ... + 101576742.

It is an arithmetic number, because the mean of its divisors is an integer number (3346276500000).

Almost surely, 273428633682437 is an apocalyptic number.

It is an amenable number.

73428633682437 is a deficient number, since it is larger than the sum of its proper divisors (33652214317563).

73428633682437 is a wasteful number, since it uses less digits than its factorization.

73428633682437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733401.

The product of its digits is 585252864, while the sum is 66.

The spelling of 73428633682437 in words is "seventy-three trillion, four hundred twenty-eight billion, six hundred thirty-three million, six hundred eighty-two thousand, four hundred thirty-seven".

Divisors: 1 3 11 33 409 1227 4499 7499 13497 22497 82489 247467 725479 2176437 3067091 7980269 9201273 23940807 33738001 101214003 296720911 890162733 3263930021 5440367021 9791790063 16321101063 59844037231 179532111693 2225110111589 6675330334767 24476211227479 73428633682437