Search a number
-
+
992243537262208 = 27731119229229857
BaseRepresentation
bin1110000110011100001011001…
…1100100011011011010000000
311211010020120000011002122112001
43201213002303210123122000
52020023404231014342313
613434154215504113344
7416000141562604000
oct34147026344333200
94733216004078461
10992243537262208
1126818313705a040
1293353541005854
1333787219619bba
1413704bb45c4000
1579aa7e8b0eadd
hex38670b391b680

992243537262208 has 1536 divisors, whose sum is σ = 2760849748800000. Its totient is φ = 351657636986880.

The previous prime is 992243537262119. The next prime is 992243537262319. The reversal of 992243537262208 is 802262735342299.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 992243537262208.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1157810428116 + ... + 1157810428972.

It is an arithmetic number, because the mean of its divisors is an integer number (1797428221875).

Almost surely, 2992243537262208 is an apocalyptic number.

992243537262208 is a gapful number since it is divisible by the number (98) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992243537262208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380424874400000).

992243537262208 is an abundant number, since it is smaller than the sum of its proper divisors (1768606211537792).

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

992243537262208 is a wasteful number, since it uses less digits than its factorization.

992243537262208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 64.

The spelling of 992243537262208 in words is "nine hundred ninety-two trillion, two hundred forty-three billion, five hundred thirty-seven million, two hundred sixty-two thousand, two hundred eight".