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90634820304 = 2437476785661
BaseRepresentation
bin101010001101001000…
…0011001101011010000
322122221111101220212110
41110122100121223100
52441110003222204
6105345334425320
76356005155420
oct1243220315320
9278844356773
1090634820304
113548aaa1a76
1215695502240
1387154bcbb2
14455b34a480
152556e76889
hex151a419ad0

90634820304 has 160 divisors (see below), whose sum is σ = 277363961856. Its totient is φ = 24966120960.

The previous prime is 90634820291. The next prime is 90634820369. The reversal of 90634820304 is 40302843609.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015234 + ... + 1100894.

Almost surely, 290634820304 is an apocalyptic number.

90634820304 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90634820304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138681980928).

90634820304 is an abundant number, since it is smaller than the sum of its proper divisors (186729141552).

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

90634820304 is a wasteful number, since it uses less digits than its factorization.

90634820304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85793 (or 85787 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 90634820304 in words is "ninety billion, six hundred thirty-four million, eight hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 67 84 94 112 134 141 168 188 201 268 282 329 336 376 402 469 536 564 658 752 804 938 987 1072 1128 1316 1407 1608 1876 1974 2256 2632 2814 3149 3216 3752 3948 5264 5628 6298 7504 7896 9447 11256 12596 15792 18894 22043 22512 25192 37788 44086 50384 66129 75576 85661 88172 132258 151152 171322 176344 256983 264516 342644 352688 513966 529032 599627 685288 1027932 1058064 1199254 1370576 1798881 2055864 2398508 3597762 4026067 4111728 4797016 5739287 7195524 8052134 9594032 11478574 12078201 14391048 16104268 17217861 22957148 24156402 28182469 28782096 32208536 34435722 40175009 45914296 48312804 56364938 64417072 68871444 80350018 84547407 91828592 96625608 112729876 120525027 137742888 160700036 169094814 193251216 225459752 241050054 269746489 275485776 321400072 338189628 450919504 482100108 539492978 642800144 676379256 809239467 964200216 1078985956 1352758512 1618478934 1888225423 1928400432 2157971912 3236957868 3776450846 4315943824 5664676269 6473915736 7552901692 11329352538 12947831472 15105803384 22658705076 30211606768 45317410152 90634820304