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191097028248 = 233724143611511
BaseRepresentation
bin1011000111111001000…
…1010011111010011000
3200021020212202212012220
42301332101103322120
511112331314400443
6223442212304040
716543363640100
oct2617621237230
9607225685186
10191097028248
1174053321805
1231052012020
13150359b1b59
14936b926200
154e86a61a83
hex2c7e453e98

191097028248 has 384 divisors, whose sum is σ = 592477079040. Its totient is φ = 51141888000.

The previous prime is 191097028247. The next prime is 191097028267. The reversal of 191097028248 is 842820790191.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 191097028248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (191097028247) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126469813 + ... + 126471323.

It is an arithmetic number, because the mean of its divisors is an integer number (1542909060).

Almost surely, 2191097028248 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 191097028248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296238539520).

191097028248 is an abundant number, since it is smaller than the sum of its proper divisors (401380050792).

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

191097028248 is a wasteful number, since it uses less digits than its factorization.

191097028248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 191097028248 in words is "one hundred ninety-one billion, ninety-seven million, twenty-eight thousand, two hundred forty-eight".