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54405377350445 = 51131127251254427
BaseRepresentation
bin11000101111011001111010…
…01100001101101100101101
321010122002210021212001010102
430113230331030031230231
524112334203100203240
6311413252454520445
714313441653151632
oct1427547514155455
9233562707761112
1054405377350445
1116376211195030
126128162966125
132448535c297c4
14d6133cd58189
1564531e657815
hex317b3d30db2d

54405377350445 has 32 divisors (see below), whose sum is σ = 74097945870336. Its totient is φ = 37989669211200.

The previous prime is 54405377350367. The next prime is 54405377350559.

It is a happy number.

54405377350445 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-54405377350445 is a prime.

It is a Duffinian number.

It is a congruent number.

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, 125410679 + ... + 125843748.

It is an arithmetic number, because the mean of its divisors is an integer number (2315560808448).

Almost surely, 254405377350445 is an apocalyptic number.

54405377350445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54405377350445 is a deficient number, since it is larger than the sum of its proper divisors (19692568519891).

54405377350445 is a wasteful number, since it uses less digits than its factorization.

54405377350445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251254601.

The product of its (nonzero) digits is 70560000, while the sum is 56.

The spelling of 54405377350445 in words is "fifty-four trillion, four hundred five billion, three hundred seventy-seven million, three hundred fifty thousand, four hundred forty-five".

Divisors: 1 5 11 31 55 127 155 341 635 1397 1705 3937 6985 19685 43307 216535 251254427 1256272135 2763798697 7788887237 13818993485 31909312229 38944436185 85677759607 159546561145 351002434519 428388798035 989188679099 1755012172595 4945943395495 10881075470089 54405377350445