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90995690385 = 345405755381
BaseRepresentation
bin101010010111111000…
…1000000101110010001
322200212122110000120000
41110233301000232101
52442324344043020
6105445225240213
76400646414655
oct1245761005621
9280778400500
1090995690385
1135655771006
1215776333069
1387721b09a2
144593246a65
1525789ab090
hex152fc40b91

90995690385 has 40 divisors (see below), whose sum is σ = 163161353256. Its totient is φ = 48518196480.

The previous prime is 90995690333. The next prime is 90995690389. The reversal of 90995690385 is 58309659909.

It can be written as a sum of positive squares in 4 ways, for example, as 30237384321 + 60758306064 = 173889^2 + 246492^2 .

It is not a de Polignac number, because 90995690385 - 214 = 90995674001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90995690389) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1615395 + ... + 1670775.

Almost surely, 290995690385 is an apocalyptic number.

It is an amenable number.

90995690385 is a deficient number, since it is larger than the sum of its proper divisors (72165662871).

90995690385 is a wasteful number, since it uses less digits than its factorization.

90995690385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59455 (or 59446 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 90995690385 in words is "ninety billion, nine hundred ninety-five million, six hundred ninety thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 4057 12171 20285 36513 55381 60855 109539 166143 182565 276905 328617 498429 547695 830715 1495287 1643085 2492145 4485861 7476435 22429305 224680717 674042151 1123403585 2022126453 3370210755 6066379359 10110632265 18199138077 30331896795 90995690385