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90395435052 = 223313301121383
BaseRepresentation
bin101010000101111111…
…1001110000000101100
322122022210221220001000
41110023333032000230
52440112212410202
6105305503520300
76350040343266
oct1241377160054
9278283856030
1090395435052
113537795931a
12156292b9090
1386a7a25b10
144537634b36
152540e3c91c
hex150bfce02c

90395435052 has 96 divisors (see below), whose sum is σ = 252481743360. Its totient is φ = 27803442240.

The previous prime is 90395435051. The next prime is 90395435057. The reversal of 90395435052 is 25053459309.

90395435052 is a `hidden beast` number, since 9 + 0 + 3 + 9 + 543 + 50 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90395434989 and 90395435007.

It is not an unprimeable number, because it can be changed into a prime (90395435051) 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, 4216753 + ... + 4238135.

It is an arithmetic number, because the mean of its divisors is an integer number (2630018160).

Almost surely, 290395435052 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 90395435052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126240871680).

90395435052 is an abundant number, since it is smaller than the sum of its proper divisors (162086308308).

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

90395435052 is a wasteful number, since it uses less digits than its factorization.

90395435052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24420 (or 24412 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 90395435052 in words is "ninety billion, three hundred ninety-five million, four hundred thirty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3011 6022 9033 12044 18066 21383 27099 36132 39143 42766 54198 64149 78286 81297 85532 108396 117429 128298 156572 162594 192447 234858 256596 277979 325188 352287 384894 469716 555958 577341 704574 769788 833937 1056861 1111916 1154682 1409148 1667874 2113722 2309364 2501811 3335748 4227444 5003622 7505433 10007244 15010866 30021732 64384213 128768426 193152639 257536852 386305278 579457917 772610556 836994769 1158915834 1673989538 1738373751 2317831668 2510984307 3347979076 3476747502 5021968614 6953495004 7532952921 10043937228 15065905842 22598858763 30131811684 45197717526 90395435052