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66554888113351 = 112231011273076073
BaseRepresentation
bin11110010001000000001000…
…11101101100110011000111
322201122120210120210211200001
433020200010131230303013
532210413402324111401
6353314520555302131
720006301112536331
oct1710400435546307
9281576716724601
1066554888113351
111a22a851291a00
12756a94944a947
132b1a139711621
1412613b9334451
157a63a3218601
hex3c880476ccc7

66554888113351 has 96 divisors (see below), whose sum is σ = 77964792643584. Its totient is φ = 56655111744000.

The previous prime is 66554888113339. The next prime is 66554888113391. The reversal of 66554888113351 is 15331188845566.

It is a happy number.

It is not a de Polignac number, because 66554888113351 - 225 = 66554854558919 is a prime.

It is a super-3 number, since 3×665548881133513 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66554888113321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10959142051 + ... + 10959148123.

It is an arithmetic number, because the mean of its divisors is an integer number (812133256704).

Almost surely, 266554888113351 is an apocalyptic number.

66554888113351 is a deficient number, since it is larger than the sum of its proper divisors (11409904530233).

66554888113351 is a wasteful number, since it uses less digits than its factorization.

66554888113351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6653 (or 6642 counting only the distinct ones).

The product of its digits is 82944000, while the sum is 64.

The spelling of 66554888113351 in words is "sixty-six trillion, five hundred fifty-four billion, eight hundred eighty-eight million, one hundred thirteen thousand, three hundred fifty-one".

Divisors: 1 11 23 101 121 127 253 307 1111 1397 2323 2783 2921 3377 6073 7061 12221 12827 15367 25553 31007 32131 37147 38989 66803 77671 139679 141097 281083 295021 341077 353441 428879 613373 713161 734833 771271 854381 896747 1536469 1552067 1864411 3245231 3751847 3937889 4717669 6747103 7844771 8483981 9864217 14107579 16901159 17739233 20508521 35697541 42881453 43316779 74218133 77898371 86292481 90571447 93323791 108506387 155183369 188305511 195131563 225593731 236780197 471695983 476484569 856882081 996285917 1707017059 1791662533 2071360621 2146447193 2604582167 4331026753 5188655813 5445944531 9425702891 10959145087 19708287863 22784966831 23914799897 28650403837 47641294283 59905389841 216791166493 263062798867 524054237113 550040397631 658959288251 2893690787537 6050444373941 66554888113351