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42626530191 = 371923125851
BaseRepresentation
bin100111101100101111…
…010011101110001111
311002000201100002120110
4213230233103232033
51144244342431231
631325442251103
73036216346140
oct475457235617
9132021302513
1042626530191
1117094624053
128317656a93
13403428403b
1420c5357ac7
1511973a8046
hex9ecbd3b8f

42626530191 has 72 divisors (see below), whose sum is σ = 70848150912. Its totient is φ = 22327812000.

The previous prime is 42626530189. The next prime is 42626530211. The reversal of 42626530191 is 19103562624.

It is not a de Polignac number, because 42626530191 - 21 = 42626530189 is a prime.

It is a super-2 number, since 2×426265301912 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42626530181) 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 71 ways as a sum of consecutive naturals, for example, 7282416 + ... + 7288266.

It is an arithmetic number, because the mean of its divisors is an integer number (984002096).

Almost surely, 242626530191 is an apocalyptic number.

42626530191 is a deficient number, since it is larger than the sum of its proper divisors (28221620721).

42626530191 is a wasteful number, since it uses less digits than its factorization.

42626530191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5961 (or 5911 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 42626530191 in words is "forty-two billion, six hundred twenty-six million, five hundred thirty thousand, one hundred ninety-one".

Divisors: 1 3 7 19 21 31 57 93 133 217 361 399 589 651 961 1083 1767 2527 2883 4123 5851 6727 7581 11191 12369 17553 18259 20181 33573 40957 54777 78337 111169 122871 127813 181381 235011 333507 346921 383439 544143 778183 1040763 1269667 2112211 2334549 2428447 3446239 3809001 5622811 6336633 7285341 10338717 14785477 16868433 24123673 39359677 44356431 65478541 72371019 106833409 118079031 196435623 320500227 458349787 747833863 1375049361 2029834771 2243501589 6089504313 14208843397 42626530191