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2191491696576 = 263713819115313
BaseRepresentation
bin11111111000111111000…
…101011000011111000000
321202111121211020221100110
4133320333011120133000
5241401133333242301
64354431332351320
7314221131032520
oct37707705303700
97674554227313
102191491696576
11775451a26766
122b4886175540
1312b86cc3ba80
14780d698d680
153c0144ed0d6
hex1fe3f1587c0

2191491696576 has 224 divisors, whose sum is σ = 7137733378048. Its totient is φ = 577867530240.

The previous prime is 2191491696491. The next prime is 2191491696587. The reversal of 2191491696576 is 6756961941912.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143105496 + ... + 143120808.

It is an arithmetic number, because the mean of its divisors is an integer number (31864881152).

Almost surely, 22191491696576 is an apocalyptic number.

2191491696576 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 2191491696576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568866689024).

2191491696576 is an abundant number, since it is smaller than the sum of its proper divisors (4946241681472).

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

2191491696576 is a wasteful number, since it uses less digits than its factorization.

2191491696576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23539 (or 23529 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 66.

The spelling of 2191491696576 in words is "two trillion, one hundred ninety-one billion, four hundred ninety-one million, six hundred ninety-six thousand, five hundred seventy-six".