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90468843864 = 2337276929289
BaseRepresentation
bin101010001000001011…
…1010000000101011000
322122111221002102222220
41110100113100011120
52440240011000424
6105321045144040
76351621325200
oct1242027200530
9278457072886
1090468843864
1135405338463
12156499bb020
1386b9cb9099
1445432a3400
1525475dd579
hex15105d0158

90468843864 has 48 divisors (see below), whose sum is σ = 263098171800. Its totient is φ = 25848240768.

The previous prime is 90468843851. The next prime is 90468843889. The reversal of 90468843864 is 46834886409.

It is a super-4 number, since 4×904688438644 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 90468843798 and 90468843807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38463469 + ... + 38465820.

Almost surely, 290468843864 is an apocalyptic number.

It is an amenable number.

90468843864 is an abundant number, since it is smaller than the sum of its proper divisors (172629327936).

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

90468843864 is a wasteful number, since it uses less digits than its factorization.

90468843864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76929312 (or 76929301 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 60.

The spelling of 90468843864 in words is "ninety billion, four hundred sixty-eight million, eight hundred forty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 76929289 153858578 230787867 307717156 461575734 538505023 615434312 923151468 1077010046 1615515069 1846302936 2154020092 3231030138 3769535161 4308040184 6462060276 7539070322 11308605483 12924120552 15078140644 22617210966 30156281288 45234421932 90468843864