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528340769148 = 223293645141651
BaseRepresentation
bin1111011000000111001…
…00000101100101111100
31212111201222100221210010
413230003210011211330
532124020214103043
61042414424143220
753112530303433
oct7540344054574
91774658327703
10528340769148
11194082654865
1286490307b10
133aa8c83c26a
141b80115a11a
15db23c5d133
hex7b0390597c

528340769148 has 48 divisors (see below), whose sum is σ = 1275370911360. Its totient is φ = 170031960000.

The previous prime is 528340769113. The next prime is 528340769149. The reversal of 528340769148 is 841967043825.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528340769149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12664123 + ... + 12705773.

It is an arithmetic number, because the mean of its divisors is an integer number (26570227320).

It is a 1-persistent number, because it is pandigital, but 2⋅528340769148 = 1056681538296 is not.

Almost surely, 2528340769148 is an apocalyptic number.

528340769148 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

528340769148 is an abundant number, since it is smaller than the sum of its proper divisors (747030142212).

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

528340769148 is a wasteful number, since it uses less digits than its factorization.

528340769148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78138 (or 78136 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 528340769148 in words is "five hundred twenty-eight billion, three hundred forty million, seven hundred sixty-nine thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 36451 41651 72902 83302 109353 124953 145804 166604 218706 249906 437412 499812 1057079 1207879 2114158 2415758 3171237 3623637 4228316 4831516 6342474 7247274 12684948 14494548 1518220601 3036441202 4554661803 6072882404 9109323606 18218647212 44028397429 88056794858 132085192287 176113589716 264170384574 528340769148