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58144666944 = 26372131992389
BaseRepresentation
bin110110001001101100…
…010011010101000000
312120002012110010021010
4312021230103111000
51423040013320234
642413350000520
74125610341300
oct661154232500
9176065403233
1058144666944
112272816a961
12b328646140
135638265490
142b582d5600
1517a49196e9
hexd89b13540

58144666944 has 336 divisors, whose sum is σ = 193773552000. Its totient is φ = 15251410944.

The previous prime is 58144666901. The next prime is 58144666961. The reversal of 58144666944 is 44966644185.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24337302 + ... + 24339690.

It is an arithmetic number, because the mean of its divisors is an integer number (576707000).

Almost surely, 258144666944 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 58144666944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96886776000).

58144666944 is an abundant number, since it is smaller than the sum of its proper divisors (135628885056).

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

58144666944 is a wasteful number, since it uses less digits than its factorization.

58144666944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2613 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 58144666944 in words is "fifty-eight billion, one hundred forty-four million, six hundred sixty-six thousand, nine hundred forty-four".