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2212118861472 = 25321337101915671
BaseRepresentation
bin100000001100001100100…
…011110001011010100000
321211110212100220111002200
4200030030203301122200
5242220404412031342
64412122224213200
7315551240035512
oct40141443613240
97743770814080
102212118861472
11783177477a83
122b888216a200
131307a95339a0
14790d228dbb2
153c82035094c
hex2030c8f16a0

2212118861472 has 288 divisors, whose sum is σ = 6964984091520. Its totient is φ = 661563832320.

The previous prime is 2212118861471. The next prime is 2212118861479. The reversal of 2212118861472 is 2741688112122.

2212118861472 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 118 + 8 + 61 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2212118861471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141152197 + ... + 141167867.

It is an arithmetic number, because the mean of its divisors is an integer number (24183972540).

Almost surely, 22212118861472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2212118861472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482492045760).

2212118861472 is an abundant number, since it is smaller than the sum of its proper divisors (4752865230048).

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

2212118861472 is a wasteful number, since it uses less digits than its factorization.

2212118861472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16756 (or 16745 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The spelling of 2212118861472 in words is "two trillion, two hundred twelve billion, one hundred eighteen million, eight hundred sixty-one thousand, four hundred seventy-two".