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211319445480 = 2335111327271303
BaseRepresentation
bin1100010011001110011…
…1101101011111101000
3202012110012211002112220
43010303213231133220
511430240234223410
6241025005034040
721160456435533
oct3046347553750
9665405732486
10211319445480
1181690355120
1234b56555920
1316c09492500
14a329587a1a
15576c0b4070
hex31339ed7e8

211319445480 has 384 divisors, whose sum is σ = 750488094720. Its totient is φ = 47186979840.

The previous prime is 211319445473. The next prime is 211319445509. The reversal of 211319445480 is 84544913112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 162178509 + ... + 162179811.

It is an arithmetic number, because the mean of its divisors is an integer number (1954396080).

Almost surely, 2211319445480 is an apocalyptic number.

211319445480 is a gapful number since it is divisible by the number (20) 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 211319445480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375244047360).

211319445480 is an abundant number, since it is smaller than the sum of its proper divisors (539168649240).

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

211319445480 is a wasteful number, since it uses less digits than its factorization.

211319445480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2081 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 211319445480 in words is "two hundred eleven billion, three hundred nineteen million, four hundred forty-five thousand, four hundred eighty".