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43381054365948 = 2232132928385313241
BaseRepresentation
bin10011101110100011100000…
…10101011110000011111100
312200121012002021012201200100
421313101300111132003330
521141223344404202243
6232132551541201100
712065114653006125
oct1167216025360374
9180535067181610
1043381054365948
111290589027a942
124a47657400190
131b28a7b621940
14a9d92330d04c
1550369295d0d3
hex27747055e0fc

43381054365948 has 288 divisors, whose sum is σ = 122749710632640. Its totient is φ = 12826176491520.

The previous prime is 43381054365899. The next prime is 43381054365973. The reversal of 43381054365948 is 84956345018334.

43381054365948 is a `hidden beast` number, since 4 + 3 + 3 + 8 + 1 + 0 + 5 + 4 + 36 + 594 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3276260608 + ... + 3276273848.

It is an arithmetic number, because the mean of its divisors is an integer number (426214273030).

Almost surely, 243381054365948 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 43381054365948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61374855316320).

43381054365948 is an abundant number, since it is smaller than the sum of its proper divisors (79368656266692).

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

43381054365948 is a wasteful number, since it uses less digits than its factorization.

43381054365948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14429 (or 14424 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 43381054365948 in words is "forty-three trillion, three hundred eighty-one billion, fifty-four million, three hundred sixty-five thousand, nine hundred forty-eight".