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54664841140 = 225713711273331
BaseRepresentation
bin110010111010010001…
…110100011110110100
312020002200112122122221
4302322101310132310
51343423144404030
641040201132124
73643434324460
oct627221643664
9166080478587
1054664841140
1121201972268
12a71718a044
135202340660
1429080a94a0
15164e194e7a
hexcba4747b4

54664841140 has 192 divisors, whose sum is σ = 144449077248. Its totient is φ = 16917465600.

The previous prime is 54664841093. The next prime is 54664841149. The reversal of 54664841140 is 4114846645.

It is a super-2 number, since 2×546648411402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54664841149) by changing a digit.

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, 16409275 + ... + 16412605.

It is an arithmetic number, because the mean of its divisors is an integer number (752338944).

Almost surely, 254664841140 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 54664841140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72224538624).

54664841140 is an abundant number, since it is smaller than the sum of its proper divisors (89784236108).

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

54664841140 is a wasteful number, since it uses less digits than its factorization.

54664841140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 54664841140 in words is "fifty-four billion, six hundred sixty-four million, eight hundred forty-one thousand, one hundred forty".