Search a number
-
+
408105090168 = 233193128869913
BaseRepresentation
bin1011111000001001111…
…01010111110001111000
31110000101112201121111120
411330010331113301320
523141244400341133
6511251512225240
741325140013336
oct5740475276170
91400345647446
10408105090168
11148092758626
126711569b220
132c63a887a99
1415a767c4b56
15a938251ab3
hex5f04f57c78

408105090168 has 64 divisors (see below), whose sum is σ = 1108604697600. Its totient is φ = 124718019840.

The previous prime is 408105090109. The next prime is 408105090181. The reversal of 408105090168 is 861090501804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14420821 + ... + 14449092.

It is an arithmetic number, because the mean of its divisors is an integer number (17321948400).

Almost surely, 2408105090168 is an apocalyptic number.

It is an amenable number.

408105090168 is an abundant number, since it is smaller than the sum of its proper divisors (700499607432).

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

408105090168 is a wasteful number, since it uses less digits than its factorization.

408105090168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28869972 (or 28869968 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 408105090168 in words is "four hundred eight billion, one hundred five million, ninety thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 76 93 114 124 152 186 228 248 372 456 589 744 1178 1767 2356 3534 4712 7068 14136 28869913 57739826 86609739 115479652 173219478 230959304 346438956 548528347 692877912 894967303 1097056694 1645585041 1789934606 2194113388 2684901909 3291170082 3579869212 4388226776 5369803818 6582340164 7159738424 10739607636 13164680328 17004378757 21479215272 34008757514 51013136271 68017515028 102026272542 136035030056 204052545084 408105090168