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2122196972544 = 210341117612243
BaseRepresentation
bin11110111000011100110…
…010111111010000000000
321111212202120000020020000
4132320130302333100000
5234232224411110134
64302531314120000
7306216006430155
oct36703462772000
97455676006200
102122196972544
117490229579a0
122a3367580000
1312517896009c
1474a018c622c
153a30aca2e99
hex1ee1ccbf400

2122196972544 has 880 divisors, whose sum is σ = 7443402538176. Its totient is φ = 595073433600.

The previous prime is 2122196972491. The next prime is 2122196972591. The reversal of 2122196972544 is 4452796912212.

2122196972544 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 1 + 9 + 6 + 97 + 2 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 946141087 + ... + 946143329.

Almost surely, 22122196972544 is an apocalyptic number.

2122196972544 is a gapful number since it is divisible by the number (24) 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 2122196972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3721701269088).

2122196972544 is an abundant number, since it is smaller than the sum of its proper divisors (5321205565632).

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

2122196972544 is a wasteful number, since it uses less digits than its factorization.

2122196972544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2337 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 2122196972544 in words is "two trillion, one hundred twenty-two billion, one hundred ninety-six million, nine hundred seventy-two thousand, five hundred forty-four".