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2134926761448 = 23313172193161659
BaseRepresentation
bin11111000100010011100…
…011010001110111101000
321120002121201100111202010
4133010103203101313220
5234434312222331243
64312434413435520
7310146322024305
oct37042343216750
97502551314663
102134926761448
11753465554798
122a591a79bba0
13126427063b60
147548c3d40ac
153a80362c433
hex1f1138d1de8

2134926761448 has 768 divisors, whose sum is σ = 6753567744000. Its totient is φ = 556686950400.

The previous prime is 2134926761447. The next prime is 2134926761501. The reversal of 2134926761448 is 8441676294312.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2134926761441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3239645743 + ... + 3239646401.

It is an arithmetic number, because the mean of its divisors is an integer number (8793708000).

Almost surely, 22134926761448 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 2134926761448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376783872000).

2134926761448 is an abundant number, since it is smaller than the sum of its proper divisors (4618640982552).

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

2134926761448 is a wasteful number, since it uses less digits than its factorization.

2134926761448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 805 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 57.

The spelling of 2134926761448 in words is "two trillion, one hundred thirty-four billion, nine hundred twenty-six million, seven hundred sixty-one thousand, four hundred forty-eight".