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42506535546 = 232311395411013
BaseRepresentation
bin100111100101100101…
…100100001001111010
311001201100112201212100
4213211211210021322
51144023133114141
631305514324230
73033231406416
oct474545441172
9131640481770
1042506535546
1117032916322
1282a3429676
13401545c6a7
1420b343dd46
15118baa40b6
hex9e596427a

42506535546 has 96 divisors (see below), whose sum is σ = 96024015360. Its totient is φ = 13574563200.

The previous prime is 42506535527. The next prime is 42506535559. The reversal of 42506535546 is 64553560524.

42506535546 is a `hidden beast` number, since 4 + 2 + 50 + 6 + 53 + 5 + 546 = 666.

42506535546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41960536 + ... + 41961548.

It is an arithmetic number, because the mean of its divisors is an integer number (1000250160).

Almost surely, 242506535546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42506535546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48012007680).

42506535546 is an abundant number, since it is smaller than the sum of its proper divisors (53517479814).

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

42506535546 is a wasteful number, since it uses less digits than its factorization.

42506535546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 42506535546 in words is "forty-two billion, five hundred six million, five hundred thirty-five thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 18 31 62 93 139 186 278 279 417 541 558 834 1013 1082 1251 1623 2026 2502 3039 3246 4309 4869 6078 8618 9117 9738 12927 16771 18234 25854 31403 33542 38781 50313 62806 75199 77562 94209 100626 140807 150398 150939 188418 225597 281614 282627 301878 422421 451194 548033 565254 676791 844842 1096066 1267263 1353582 1644099 2331169 2534526 3288198 4365017 4662338 4932297 6993507 8730034 9864594 13095051 13987014 16989023 20980521 26190102 33978046 39285153 41961042 50967069 76176587 78570306 101934138 152353174 152901207 228529761 305802414 457059522 685589283 1371178566 2361474197 4722948394 7084422591 14168845182 21253267773 42506535546