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47893649144 = 23111931241727
BaseRepresentation
bin101100100110101011…
…110001011011111000
311120121210100110110012
4230212223301123320
51241041233233034
634000235041052
73313564205105
oct544653613370
9146553313405
1047893649144
1119347797520
1293475a0188
13469356a283
142464aadaac
1513a49c5cce
hexb26af16f8

47893649144 has 192 divisors, whose sum is σ = 109303084800. Its totient is φ = 19445184000.

The previous prime is 47893649081. The next prime is 47893649149. The reversal of 47893649144 is 44194639874.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47893649149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65878109 + ... + 65878835.

It is an arithmetic number, because the mean of its divisors is an integer number (569286900).

Almost surely, 247893649144 is an apocalyptic number.

47893649144 is a gapful number since it is divisible by the number (44) 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 47893649144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54651542400).

47893649144 is an abundant number, since it is smaller than the sum of its proper divisors (61409435656).

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

47893649144 is a wasteful number, since it uses less digits than its factorization.

47893649144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 831 counting only the distinct ones).

The product of its digits is 20901888, while the sum is 59.

The spelling of 47893649144 in words is "forty-seven billion, eight hundred ninety-three million, six hundred forty-nine thousand, one hundred forty-four".