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42915105816 = 23311259924671
BaseRepresentation
bin100111111101111100…
…001000110000011000
311002202211100020220120
4213331330020300120
51200342231341231
631414231353240
73046322244402
oct477574106030
9132684306816
1042915105816
1117222505200
128398222820
13407bcb1b4b
1421117d5b72
1511b28abd96
hex9fdf08c18

42915105816 has 96 divisors (see below), whose sum is σ = 118129536000. Its totient is φ = 12982340800.

The previous prime is 42915105799. The next prime is 42915105817. The reversal of 42915105816 is 61850151924.

42915105816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42915105817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1727161 + ... + 1751831.

It is an arithmetic number, because the mean of its divisors is an integer number (1230516000).

Almost surely, 242915105816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42915105816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59064768000).

42915105816 is an abundant number, since it is smaller than the sum of its proper divisors (75214430184).

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

42915105816 is a wasteful number, since it uses less digits than its factorization.

42915105816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25301 (or 25286 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 42915105816 in words is "forty-two billion, nine hundred fifteen million, one hundred five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 599 726 968 1198 1452 1797 2396 2904 3594 4792 6589 7188 13178 14376 19767 24671 26356 39534 49342 52712 72479 74013 79068 98684 144958 148026 158136 197368 217437 271381 289916 296052 434874 542762 579832 592104 814143 869748 1085524 1628286 1739496 2171048 2985191 3256572 5970382 6513144 8955573 11940764 14777929 17911146 23881528 29555858 35822292 44333787 59111716 71644584 88667574 118223432 162557219 177335148 325114438 354670296 487671657 650228876 975343314 1300457752 1788129409 1950686628 3576258818 3901373256 5364388227 7152517636 10728776454 14305035272 21457552908 42915105816