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2372896221696 = 2933721121317131
BaseRepresentation
bin100010100001111011101…
…000101110101000000000
322101211212012212121212000
4202201323220232220000
5302334142413043241
65014032105104000
7333302403043200
oct42417350565000
98354765777760
102372896221696
11835381068400
12323a72188000
131429bc857670
1482bc5118400
1541ad0191eb6
hex2287ba2ea00

2372896221696 has 2880 divisors, whose sum is σ = 10318975793280. Its totient is φ = 531372441600.

The previous prime is 2372896221671. The next prime is 2372896221733. The reversal of 2372896221696 is 6961226982732.

It is a happy number.

2372896221696 is a `hidden beast` number, since 2 + 372 + 89 + 6 + 22 + 169 + 6 = 666.

It is a super-2 number, since 2×23728962216962 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (47029248) is a multiple of the sum of its prime factors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18113711551 + ... + 18113711681.

It is an arithmetic number, because the mean of its divisors is an integer number (3582977706).

Almost surely, 22372896221696 is an apocalyptic number.

2372896221696 is a gapful number since it is divisible by the number (26) 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 2372896221696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5159487896640).

2372896221696 is an abundant number, since it is smaller than the sum of its proper divisors (7946079571584).

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

2372896221696 is a wasteful number, since it uses less digits than its factorization.

2372896221696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 184 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 2372896221696 in words is "two trillion, three hundred seventy-two billion, eight hundred ninety-six million, two hundred twenty-one thousand, six hundred ninety-six".