Search a number
-
+
1136234813490 = 2355717232943137
BaseRepresentation
bin10000100010001100110…
…111110101100000110010
311000121211011021000100000
4100202030313311200302
5122104002103012430
62225551251210430
7145042646363130
oct20421467654062
94017734230300
101136234813490
113a8968a26747
121642628a6a16
13831b9a9230a
143cdcb9a6750
151e851b46e60
hex1088cdf5832

1136234813490 has 1536 divisors, whose sum is σ = 4124778577920. Its totient is φ = 218884571136.

The previous prime is 1136234813477. The next prime is 1136234813557. The reversal of 1136234813490 is 943184326311.

1136234813490 is a `hidden beast` number, since 1 + 1 + 3 + 623 + 4 + 8 + 13 + 4 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 8293684702 + ... + 8293684838.

It is an arithmetic number, because the mean of its divisors is an integer number (2685402720).

Almost surely, 21136234813490 is an apocalyptic number.

1136234813490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1136234813490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062389288960).

1136234813490 is an abundant number, since it is smaller than the sum of its proper divisors (2988543764430).

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

1136234813490 is a wasteful number, since it uses less digits than its factorization.

1136234813490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 1136234813490 in words is "one trillion, one hundred thirty-six billion, two hundred thirty-four million, eight hundred thirteen thousand, four hundred ninety".