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118592292128 = 2517235812
BaseRepresentation
bin110111001110010100…
…1101100010100100000
3102100002220022122022212
41232130221230110200
53420334111322003
6130251444221252
711365553564552
oct1563451542440
9370086278285
10118592292128
1146327291392
121ab9839a828
13b24c66a42b
145a503c94d2
1531415dbdd8
hex1b9ca6c520

118592292128 has 54 divisors (see below), whose sum is σ = 248089772763. Its totient is φ = 55792552960.

The previous prime is 118592292127. The next prime is 118592292197. The reversal of 118592292128 is 821292295811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 118399304464 + 192987664 = 344092^2 + 13892^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=243508.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118592292127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33115298 + ... + 33118878.

Almost surely, 2118592292128 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 118592292128

118592292128 is an abundant number, since it is smaller than the sum of its proper divisors (129497480635).

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

118592292128 is an frugal number, since it uses more digits than its factorization.

118592292128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7206 (or 3600 counting only the distinct ones).

The product of its digits is 414720, while the sum is 50.

Multiplying 118592292128 by its sum of digits (50), we get a square (5929614606400 = 24350802).

The spelling of 118592292128 in words is "one hundred eighteen billion, five hundred ninety-two million, two hundred ninety-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 289 544 578 1156 2312 3581 4624 7162 9248 14324 28648 57296 60877 114592 121754 243508 487016 974032 1034909 1948064 2069818 4139636 8279272 12823561 16558544 25647122 33117088 51294244 102588488 205176976 218000537 410353952 436001074 872002148 1744004296 3488008592 3706009129 6976017184 7412018258 14824036516 29648073032 59296146064 118592292128