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55542106917 = 3311313911119
BaseRepresentation
bin110011101110100100…
…010100101100100101
312022100211021101002000
4303232210110230211
51402222234410132
641303220035513
74004246055603
oct635644245445
9168324241060
1055542106917
1121612087000
12a920b32b99
13531200722b
14298c7c8873
1516a11d087c
hexcee914b25

55542106917 has 64 divisors (see below), whose sum is σ = 91166208000. Its totient is φ = 33416705520.

The previous prime is 55542106897. The next prime is 55542106927. The reversal of 55542106917 is 71960124555.

It is a happy number.

55542106917 is a `hidden beast` number, since 5 + 5 + 542 + 10 + 6 + 91 + 7 = 666.

55542106917 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 55542106917 - 28 = 55542106661 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55542106927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4989684 + ... + 5000802.

It is an arithmetic number, because the mean of its divisors is an integer number (1424472000).

Almost surely, 255542106917 is an apocalyptic number.

It is an amenable number.

55542106917 is a deficient number, since it is larger than the sum of its proper divisors (35624101083).

55542106917 is a wasteful number, since it uses less digits than its factorization.

55542106917 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11272 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 55542106917 in words is "fifty-five billion, five hundred forty-two million, one hundred six thousand, nine hundred seventeen".

Divisors: 1 3 9 11 27 33 99 121 139 297 363 417 1089 1251 1331 1529 3267 3753 3993 4587 11119 11979 13761 16819 33357 35937 41283 50457 100071 122309 151371 185009 300213 366927 454113 555027 1100781 1345399 1545541 1665081 3302343 4036197 4636623 4995243 12108591 13909869 14799389 17000951 36325773 41729607 44398167 51002853 133194501 153008559 187010461 399583503 459025677 561031383 1683094149 2057115071 5049282447 6171345213 18514035639 55542106917