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90377133177308 = 22137234713612549
BaseRepresentation
bin10100100011001010010000…
…111010110011100111011100
3102211222222011210200200210012
4110203022100322303213130
543321214332043133213
6520114403134302352
725015350416552255
oct2443122072634734
9384888153620705
1090377133177308
11268847aa60818a
12a17783b0579b8
133b576b1028653
1418463c2d43b2c
15a6adb39c04a8
hex523290eb39dc

90377133177308 has 72 divisors (see below), whose sum is σ = 159962136541200. Its totient is φ = 44679047096320.

The previous prime is 90377133177299. The next prime is 90377133177311. The reversal of 90377133177308 is 80377133177309.

It is a happy number.

It is a super-2 number, since 2×903771331773082 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35455916018 + ... + 35455918566.

It is an arithmetic number, because the mean of its divisors is an integer number (2221696340850).

Almost surely, 290377133177308 is an apocalyptic number.

It is an amenable number.

90377133177308 is a deficient number, since it is larger than the sum of its proper divisors (69585003363892).

90377133177308 is a wasteful number, since it uses less digits than its factorization.

90377133177308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4396 counting only the distinct ones).

The product of its (nonzero) digits is 14002632, while the sum is 59.

Subtracting from 90377133177308 its reverse (80377133177309), we obtain a palindrome (9999999999999).

The spelling of 90377133177308 in words is "ninety trillion, three hundred seventy-seven billion, one hundred thirty-three million, one hundred seventy-seven thousand, three hundred eight".

Divisors: 1 2 4 137 274 347 548 694 1361 1388 2549 2722 5098 5444 10196 18769 37538 47539 75076 95078 186457 190156 349213 372914 472267 698426 745828 884503 944534 1396852 1769006 1889068 3469189 3538012 6512843 6938378 13025686 13876756 25544609 26051372 47842181 51089218 64700579 95684362 102178436 121176911 129401158 191368724 242353822 258802316 475278893 484707644 950557786 1203808583 1901115572 2407617166 4815234332 8863979323 16601236807 17727958646 33202473614 35455917292 65113208341 66404947228 130226416682 164921775871 260452833364 329843551742 659687103484 22594283294327 45188566588654 90377133177308