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80900189370 = 23557111379421
BaseRepresentation
bin100101101011000000…
…1101110110010111010
321201211001222102200000
41023112001232302322
52311140422024440
6101055351453430
75562532156260
oct1132601566272
9251731872600
1080900189370
1131345058740
1213819387276
137823796750
143cb6544430
152187536730
hex12d606ecba

80900189370 has 768 divisors, whose sum is σ = 297286778880. Its totient is φ = 15284505600.

The previous prime is 80900189341. The next prime is 80900189413. The reversal of 80900189370 is 7398100908.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 192161760 + ... + 192162180.

It is an arithmetic number, because the mean of its divisors is an integer number (387092160).

Almost surely, 280900189370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80900189370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148643389440).

80900189370 is an abundant number, since it is smaller than the sum of its proper divisors (216386589510).

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

80900189370 is a wasteful number, since it uses less digits than its factorization.

80900189370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 80900189370 in words is "eighty billion, nine hundred million, one hundred eighty-nine thousand, three hundred seventy".