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11842020544464 = 243211217292715087
BaseRepresentation
bin1010110001010010111101…
…1011011000111111010000
31112221002022202212020201200
42230110233123120333100
53023004424224410324
641104052114031200
72331362210545335
oct254245733307720
945832282766650
1011842020544464
113856199970700
1213b3090878500
1367b90bc41506
142cd22a59098c
15158088a52ec9
hexac52f6d8fd0

11842020544464 has 720 divisors, whose sum is σ = 40055896258560. Its totient is φ = 3248269516800.

The previous prime is 11842020544429. The next prime is 11842020544559. The reversal of 11842020544464 is 46444502024811.

11842020544464 is a `hidden beast` number, since 1 + 1 + 8 + 4 + 20 + 20 + 544 + 4 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2327896129 + ... + 2327901215.

It is an arithmetic number, because the mean of its divisors is an integer number (55633189248).

Almost surely, 211842020544464 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 11842020544464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20027948129280).

11842020544464 is an abundant number, since it is smaller than the sum of its proper divisors (28213875714096).

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

11842020544464 is a wasteful number, since it uses less digits than its factorization.

11842020544464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 11842020544464 in words is "eleven trillion, eight hundred forty-two billion, twenty million, five hundred forty-four thousand, four hundred sixty-four".