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55046253310605 = 345541251232301
BaseRepresentation
bin11001000010000011101000…
…10111111111001010001101
321012220101000001001000120000
430201001310113333022031
524203334211321414410
6313023522154514513
714410650321013314
oct1441016427771215
9235811001030500
1055046253310605
11165a2a91a39487
1262103baa35a39
132493abb266a8b
14d84377c6927b
15656d2cd3adc0
hex3210745ff28d

55046253310605 has 40 divisors (see below), whose sum is σ = 98857900978584. Its totient is φ = 29303735472000.

The previous prime is 55046253310541. The next prime is 55046253310627. The reversal of 55046253310605 is 50601335264055.

55046253310605 is a `hidden beast` number, since 5 + 5 + 0 + 4 + 6 + 2 + 5 + 3 + 31 + 0 + 605 = 666.

55046253310605 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 20505220136361 + 34541033174244 = 4528269^2 + 5877162^2 .

It is not a de Polignac number, because 55046253310605 - 26 = 55046253310541 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125397046 + ... + 125835255.

Almost surely, 255046253310605 is an apocalyptic number.

It is an amenable number.

55046253310605 is a deficient number, since it is larger than the sum of its proper divisors (43811647667979).

55046253310605 is a wasteful number, since it uses less digits than its factorization.

55046253310605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251232859 (or 251232850 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 55046253310605 in words is "fifty-five trillion, forty-six billion, two hundred fifty-three million, three hundred ten thousand, six hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 541 1623 2705 4869 8115 14607 24345 43821 73035 219105 251232301 753696903 1256161505 2261090709 3768484515 6783272127 11305453545 20349816381 33916360635 101749081905 135916674841 407750024523 679583374205 1223250073569 2038750122615 3669750220707 6116250367845 11009250662121 18348751103535 55046253310605