Search a number
-
+
9010440168 = 2337125121067
BaseRepresentation
bin10000110010001000…
…00110011111101000
3212020221201210020020
420121010012133220
5121423133041133
64050033000440
7436200322602
oct103104063750
925227653206
109010440168
113904182074
1218b56b3120
13b07997302
14616972172
1537b0900b3
hex2191067e8

9010440168 has 64 divisors (see below), whose sum is σ = 22935467520. Its totient is φ = 2949240000.

The previous prime is 9010440149. The next prime is 9010440193. The reversal of 9010440168 is 8610440109.

It is a super-2 number, since 2×90104401682 (a number of 21 digits) contains 22 as substring.

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, 417171 + ... + 438237.

It is an arithmetic number, because the mean of its divisors is an integer number (358366680).

Almost surely, 29010440168 is an apocalyptic number.

It is an amenable number.

9010440168 is an abundant number, since it is smaller than the sum of its proper divisors (13925027352).

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

9010440168 is a wasteful number, since it uses less digits than its factorization.

9010440168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21398 (or 21394 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 9010440168 is about 94923.3383736581. The cubic root of 9010440168 is about 2080.8878242675.

The spelling of 9010440168 in words is "nine billion, ten million, four hundred forty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 71 142 213 251 284 426 502 568 753 852 1004 1506 1704 2008 3012 6024 17821 21067 35642 42134 53463 63201 71284 84268 106926 126402 142568 168536 213852 252804 427704 505608 1495757 2991514 4487271 5287817 5983028 8974542 10575634 11966056 15863451 17949084 21151268 31726902 35898168 42302536 63453804 126907608 375435007 750870014 1126305021 1501740028 2252610042 3003480056 4505220084 9010440168