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90634703424 = 2631514916367
BaseRepresentation
bin101010001101000111…
…1111101001001000000
322122221111011222112120
41110122033331021000
52441104441002144
6105345332124240
76356004160566
oct1243217751100
9278844158476
1090634703424
113548aa22181
1215695466680
13871547b935
14455b319a36
152556e51e19
hex151a3fd240

90634703424 has 112 divisors (see below), whose sum is σ = 241922052096. Its totient is φ = 29945664000.

The previous prime is 90634703387. The next prime is 90634703479. The reversal of 90634703424 is 42430743609.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14231889 + ... + 14238255.

Almost surely, 290634703424 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 90634703424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120961026048).

90634703424 is an abundant number, since it is smaller than the sum of its proper divisors (151287348672).

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

90634703424 is a wasteful number, since it uses less digits than its factorization.

90634703424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024 (or 7014 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 90634703424 in words is "ninety billion, six hundred thirty-four million, seven hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 491 604 906 982 1208 1473 1812 1964 2416 2946 3624 3928 4832 5892 6367 7248 7856 9664 11784 12734 14496 15712 19101 23568 25468 28992 31424 38202 47136 50936 74141 76404 94272 101872 148282 152808 203744 222423 296564 305616 407488 444846 593128 611232 889692 961417 1186256 1222464 1779384 1922834 2372512 2884251 3126197 3558768 3845668 4745024 5768502 6252394 7117536 7691336 9378591 11537004 12504788 14235072 15382672 18757182 23074008 25009576 30765344 37514364 46148016 50019152 61530688 75028728 92296032 100038304 150057456 184592064 200076608 300114912 472055747 600229824 944111494 1416167241 1888222988 2832334482 3776445976 5664668964 7552891952 11329337928 15105783904 22658675856 30211567808 45317351712 90634703424