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2212453619712 = 21133722937761
BaseRepresentation
bin100000001100100000100…
…000110001100000000000
321211111201200210222002000
4200030200200301200000
5242222101111312322
64412215343224000
7315562443322200
oct40144040614000
97744650728060
102212453619712
11783329431886
122b89562a8000
131308309b149b
1479124910400
153c83e9283ac
hex20320831800

2212453619712 has 1152 divisors, whose sum is σ = 8110517688000. Its totient is φ = 593056235520.

The previous prime is 2212453619689. The next prime is 2212453619767. The reversal of 2212453619712 is 2179163542122.

2212453619712 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 453 + 6 + 197 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×22124536197122 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 2907297412 + ... + 2907298172.

Almost surely, 22212453619712 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 2212453619712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4055258844000).

2212453619712 is an abundant number, since it is smaller than the sum of its proper divisors (5898064068288).

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

2212453619712 is a wasteful number, since it uses less digits than its factorization.

2212453619712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 839 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 2212453619712 in words is "two trillion, two hundred twelve billion, four hundred fifty-three million, six hundred nineteen thousand, seven hundred twelve".