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42518156096 = 261310324817
BaseRepresentation
bin100111100110010001…
…111001001101000000
311001202011102010021002
4213212101321031000
51144034121443341
631311011351132
73033432235523
oct474621711500
9131664363232
1042518156096
1117039432a89
1282a72b24a8
13401799aa60
1420b4bc6bba
15118caec29b
hex9e6479340

42518156096 has 84 divisors (see below), whose sum is σ = 91771886052. Its totient is φ = 19429208064.

The previous prime is 42518156081. The next prime is 42518156101. The reversal of 42518156096 is 69065181524.

It can be written as a sum of positive squares in 2 ways, for example, as 5021706496 + 37496449600 = 70864^2 + 193640^2 .

It is a super-2 number, since 2×425181560962 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42518156096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8824280 + ... + 8829096.

It is an arithmetic number, because the mean of its divisors is an integer number (1092522453).

Almost surely, 242518156096 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 42518156096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45885943026).

42518156096 is an abundant number, since it is smaller than the sum of its proper divisors (49253729956).

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

42518156096 is a wasteful number, since it uses less digits than its factorization.

42518156096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5048 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 47.

The spelling of 42518156096 in words is "forty-two billion, five hundred eighteen million, one hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 206 208 412 416 824 832 1339 1648 2678 3296 4817 5356 6592 9634 10609 10712 19268 21218 21424 38536 42436 42848 62621 77072 84872 85696 125242 137917 154144 169744 250484 275834 308288 339488 496151 500968 551668 678976 992302 1001936 1103336 1984604 2003872 2206672 3969208 4007744 4413344 6449963 7938416 8826688 12899926 15876832 25799852 31753664 51103553 51599704 102207106 103199408 204414212 206398816 408828424 412797632 664346189 817656848 1328692378 1635313696 2657384756 3270627392 5314769512 10629539024 21259078048 42518156096