Search a number
-
+
90602116440 = 233511401171167
BaseRepresentation
bin101010001100001001…
…1101001010101011000
322122212012212101121020
41110120103221111120
52441023120211230
6105342205442440
76355130166033
oct1243023512530
9278765771536
1090602116440
1135473595090
1215686570420
13870b7ac2b4
144556c7601a
152554166810
hex15184e9558

90602116440 has 128 divisors (see below), whose sum is σ = 297257195520. Its totient is φ = 21909248000.

The previous prime is 90602116439. The next prime is 90602116447. The reversal of 90602116440 is 4461120609.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90602116447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 443737 + ... + 614903.

It is an arithmetic number, because the mean of its divisors is an integer number (2322321840).

Almost surely, 290602116440 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 90602116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148628597760).

90602116440 is an abundant number, since it is smaller than the sum of its proper divisors (206655079080).

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

90602116440 is a wasteful number, since it uses less digits than its factorization.

90602116440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171593 (or 171589 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 90602116440 in words is "ninety billion, six hundred two million, one hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 401 440 660 802 1203 1320 1604 2005 2406 3208 4010 4411 4812 6015 8020 8822 9624 12030 13233 16040 17644 22055 24060 26466 35288 44110 48120 52932 66165 88220 105864 132330 171167 176440 264660 342334 513501 529320 684668 855835 1027002 1369336 1711670 1882837 2054004 2567505 3423340 3765674 4108008 5135010 5648511 6846680 7531348 9414185 10270020 11297022 15062696 18828370 20540040 22594044 28242555 37656740 45188088 56485110 68637967 75313480 112970220 137275934 205913901 225940440 274551868 343189835 411827802 549103736 686379670 755017637 823655604 1029569505 1372759340 1510035274 1647311208 2059139010 2265052911 2745518680 3020070548 3775088185 4118278020 4530105822 6040141096 7550176370 8236556040 9060211644 11325264555 15100352740 18120423288 22650529110 30200705480 45301058220 90602116440