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90839381376 = 273534463413
BaseRepresentation
bin101010010011001110…
…0101111010110000000
322200110202022200220110
41110212130233112000
52442014340201001
6105421523111320
76364041000402
oct1244634572600
9280422280813
1090839381376
113558550a807
1215731b12540
1387489b3253
14457a598b72
152569dd23d6
hex152672f580

90839381376 has 64 divisors (see below), whose sum is σ = 245844843120. Its totient is φ = 29708470272.

The previous prime is 90839381333. The next prime is 90839381377. The reversal of 90839381376 is 67318393809.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90839381377) 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 7 ways as a sum of consecutive naturals, for example, 2211355 + ... + 2252058.

Almost surely, 290839381376 is an apocalyptic number.

90839381376 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90839381376 is an abundant number, since it is smaller than the sum of its proper divisors (155005461744).

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

90839381376 is a wasteful number, since it uses less digits than its factorization.

90839381376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4463483 (or 4463471 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 57.

The spelling of 90839381376 in words is "ninety billion, eight hundred thirty-nine million, three hundred eighty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 318 384 424 636 848 1272 1696 2544 3392 5088 6784 10176 20352 4463413 8926826 13390239 17853652 26780478 35707304 53560956 71414608 107121912 142829216 214243824 236560889 285658432 428487648 473121778 571316864 709682667 856975296 946243556 1419365334 1713950592 1892487112 2838730668 3784974224 5677461336 7569948448 11354922672 15139896896 22709845344 30279793792 45419690688 90839381376