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90000454636032 = 293206333138573
BaseRepresentation
bin10100011101101011011101…
…001000001101001000000000
3102210122221220102120011211220
4110131223131020031020000
543244031412341323112
6515225345454035040
724646214111023263
oct2435533510151000
9383587812504756
1090000454636032
1126749a84375a16
12a1168361a8a80
133b2b01124b635
14183208c22acda
15a611b973398c
hex51dadd20d200

90000454636032 has 160 divisors (see below), whose sum is σ = 239983454861568. Its totient is φ = 29973062025216.

The previous prime is 90000454636009. The next prime is 90000454636199. The reversal of 90000454636032 is 23063645400009.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10498124098 + ... + 10498132670.

Almost surely, 290000454636032 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 90000454636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119991727430784).

90000454636032 is an abundant number, since it is smaller than the sum of its proper divisors (149983000225536).

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

90000454636032 is a wasteful number, since it uses less digits than its factorization.

90000454636032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13970 (or 13954 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The spelling of 90000454636032 in words is "ninety trillion, four hundred fifty-four million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2063 3313 4126 6189 6626 8252 8573 9939 12378 13252 16504 17146 19878 24756 25719 26504 33008 34292 39756 49512 51438 53008 66016 68584 79512 99024 102876 106016 132032 137168 159024 198048 205752 212032 264064 274336 318048 396096 411504 424064 528128 548672 636096 792192 823008 848128 1056256 1097344 1272192 1584384 1646016 1696256 2194688 2544384 3168768 3292032 4389376 5088768 6584064 6834719 13168128 13669438 17686099 20504157 27338876 28402349 35372198 41008314 53058297 54677752 56804698 70744396 82016628 85207047 106116594 109355504 113609396 141488792 164033256 170414094 212233188 218711008 227218792 282977584 328066512 340828188 424466376 437422016 454437584 565955168 656133024 681656376 848932752 874844032 908875168 1131910336 1312266048 1363312752 1697865504 1749688064 1817750336 2263820672 2624532096 2726625504 3395731008 3499376128 3635500672 4527641344 5249064192 5453251008 6791462016 7271001344 9055282688 10498128384 10906502016 13582924032 14542002688 21813004032 27165848064 43626008064 58594045987 117188091974 175782137961 234376183948 351564275922 468752367896 703128551844 937504735792 1406257103688 1875009471584 2812514207376 3750018943168 5625028414752 7500037886336 11250056829504 15000075772672 22500113659008 30000151545344 45000227318016 90000454636032