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2148844254804 = 22331331346110607
BaseRepresentation
bin11111010001010001000…
…110010011011001010100
321121102112122120102111000
4133101101012103121110
5240201313112123204
64323055421543300
7311151235536552
oct37212106233124
97542478512430
102148844254804
1175935761a515
122a8563714b30
13127834545720
147600c950bd2
153ad6a3b4039
hex1f451193654

2148844254804 has 192 divisors, whose sum is σ = 6032414868480. Its totient is φ = 657578787840.

The previous prime is 2148844254797. The next prime is 2148844254827. The reversal of 2148844254804 is 4084524488412.

2148844254804 is a `hidden beast` number, since 2 + 1 + 48 + 84 + 42 + 5 + 480 + 4 = 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 202582069 + ... + 202592675.

It is an arithmetic number, because the mean of its divisors is an integer number (31418827440).

Almost surely, 22148844254804 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 2148844254804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016207434240).

2148844254804 is an abundant number, since it is smaller than the sum of its proper divisors (3883570613676).

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

2148844254804 is a wasteful number, since it uses less digits than its factorization.

2148844254804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11399 counting only the distinct ones).

The product of its (nonzero) digits is 10485760, while the sum is 54.

The spelling of 2148844254804 in words is "two trillion, one hundred forty-eight billion, eight hundred forty-four million, two hundred fifty-four thousand, eight hundred four".