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42874456110 = 23517277303493
BaseRepresentation
bin100111111011100001…
…000100100000101110
311002122222212000222220
4213323201010200232
51200301330043420
631410220220210
73045316602213
oct477341044056
9132588760886
1042874456110
1117201570502
12838669a666
13407374b675
14210a253b0a
1511ae02c840
hex9fb84482e

42874456110 has 64 divisors (see below), whose sum is σ = 109345246272. Its totient is φ = 10721765376.

The previous prime is 42874456103. The next prime is 42874456117. The reversal of 42874456110 is 1165447824.

It is an interprime number because it is at equal distance from previous prime (42874456103) and next prime (42874456117).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42874456117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10477 + ... + 293016.

It is an arithmetic number, because the mean of its divisors is an integer number (1708519473).

Almost surely, 242874456110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42874456110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54672623136).

42874456110 is an abundant number, since it is smaller than the sum of its proper divisors (66470790162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42874456110 is a wasteful number, since it uses less digits than its factorization.

42874456110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303797.

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 42874456110 in words is "forty-two billion, eight hundred seventy-four million, four hundred fifty-six thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 277 510 554 831 1385 1662 2770 4155 4709 8310 9418 14127 23545 28254 47090 70635 141270 303493 606986 910479 1517465 1820958 3034930 4552395 5159381 9104790 10318762 15478143 25796905 30956286 51593810 77390715 84067561 154781430 168135122 252202683 420337805 504405366 840675610 1261013415 1429148537 2522026830 2858297074 4287445611 7145742685 8574891222 14291485370 21437228055 42874456110