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690208801920 = 273951117293
BaseRepresentation
bin10100000101100111010…
…01101000010010000000
32102222112211122000000000
422002303221220102000
542302021423130140
61245024430000000
7100603006005351
oct12026351502200
92388484560000
10690208801920
11246796969660
12b1925646000
1350117ac9201
1425598bb5d28
1512e496e1a30
hexa0b3a68480

690208801920 has 1280 divisors, whose sum is σ = 2868584906880. Its totient is φ = 156943319040.

The previous prime is 690208801913. The next prime is 690208801949. The reversal of 690208801920 is 29108802096.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2355661294 + ... + 2355661586.

Almost surely, 2690208801920 is an apocalyptic number.

690208801920 is a gapful number since it is divisible by the number (60) 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 690208801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434292453440).

690208801920 is an abundant number, since it is smaller than the sum of its proper divisors (2178376104960).

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

690208801920 is an equidigital number, since it uses as much as digits as its factorization.

690208801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

It can be divided in two parts, 690208 and 801920, that added together give a triangular number (1492128 = T1727).

The spelling of 690208801920 in words is "six hundred ninety billion, two hundred eight million, eight hundred one thousand, nine hundred twenty".