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90986831232 = 27311233130211
BaseRepresentation
bin101010010111100111…
…1001101110110000000
322200212000202221002020
41110233033031312000
52442320112044412
6105444311321440
76400511206353
oct1245717156600
9280760687066
1090986831232
113565076aaa0
1215773380280
1387703cb49b
144591dbc29a
152577d0b18c
hex152f3cdd80

90986831232 has 256 divisors, whose sum is σ = 284002467840. Its totient is φ = 25521408000.

The previous prime is 90986831171. The next prime is 90986831237. The reversal of 90986831232 is 23213868909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90986831237) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2996607 + ... + 3026817.

It is an arithmetic number, because the mean of its divisors is an integer number (1109384640).

Almost surely, 290986831232 is an apocalyptic number.

90986831232 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90986831232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142001233920).

90986831232 is an abundant number, since it is smaller than the sum of its proper divisors (193015636608).

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

90986831232 is a wasteful number, since it uses less digits than its factorization.

90986831232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30293 (or 30281 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 90986831232 in words is "ninety billion, nine hundred eighty-six million, eight hundred thirty-one thousand, two hundred thirty-two".