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55442174703461 = 71319331695913921
BaseRepresentation
bin11001001101100101000110…
…01000001111011101100101
321021022012221110222200100222
430212302203020033131211
524231331033211002321
6313525441120214125
714451364526225360
oct1446624310173545
9237265843880328
1055442174703461
1116735992277977
12627509416a345
1324c22368c02c0
14d995b64950d7
156622a16333ab
hex326ca320f765

55442174703461 has 64 divisors (see below), whose sum is σ = 72060450201600. Its totient is φ = 41423100364800.

The previous prime is 55442174703451. The next prime is 55442174703521. The reversal of 55442174703461 is 16430747124455.

It is a happy number.

55442174703461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 55442174703461 - 230 = 55441100961637 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55442174703451) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3982621781 + ... + 3982635701.

It is an arithmetic number, because the mean of its divisors is an integer number (1125944534400).

Almost surely, 255442174703461 is an apocalyptic number.

It is an amenable number.

55442174703461 is a deficient number, since it is larger than the sum of its proper divisors (16618275498139).

55442174703461 is a wasteful number, since it uses less digits than its factorization.

55442174703461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21250.

The product of its (nonzero) digits is 11289600, while the sum is 53.

The spelling of 55442174703461 in words is "fifty-five trillion, four hundred forty-two billion, one hundred seventy-four million, seven hundred three thousand, four hundred sixty-one".

Divisors: 1 7 13 19 91 133 247 331 1729 2317 4303 6289 6959 13921 30121 44023 48713 81757 90467 97447 132221 180973 264499 572299 633269 925547 1266811 1718873 1851493 2303429 3438487 4607851 12032111 16124003 24069409 29944577 32254957 43765151 59902063 87549169 96876239 209612039 306356057 419314441 568946963 612844183 678133673 1138139197 1259391107 1840648541 3982628741 7966974379 8815737749 12884539787 23928431033 32066035109 167499017231 224462245763 416858456417 609254667071 2918009194919 4264782669497 7920310671923 55442174703461