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11416362150 = 235216722729
BaseRepresentation
bin10101010000111011…
…11101110010100110
31002110121220021201210
422220131331302212
5141340042042100
65124500132250
7552623322444
oct125035756246
932417807653
1011416362150
114929269946
122267397086
1310cc27759b
147a42d3b94
1546c3d5c50
hex2a877dca6

11416362150 has 72 divisors (see below), whose sum is σ = 28493566920. Its totient is φ = 3025024640.

The previous prime is 11416362107. The next prime is 11416362151. The reversal of 11416362150 is 5126361411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11416362151) 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 35 ways as a sum of consecutive naturals, for example, 4181986 + ... + 4184714.

It is an arithmetic number, because the mean of its divisors is an integer number (395743985).

Almost surely, 211416362150 is an apocalyptic number.

11416362150 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 11416362150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14246783460).

11416362150 is an abundant number, since it is smaller than the sum of its proper divisors (17077204770).

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

11416362150 is a wasteful number, since it uses less digits than its factorization.

11416362150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3078 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 11416362150 in words is "eleven billion, four hundred sixteen million, three hundred sixty-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 167 334 501 835 1002 1670 2505 2729 4175 5010 5458 8187 8350 12525 13645 16374 25050 27290 27889 40935 55778 68225 81870 83667 136450 139445 167334 204675 278890 409350 418335 455743 697225 836670 911486 1367229 1394450 2091675 2278715 2734458 4183350 4557430 6836145 11393575 13672290 22787150 34180725 68361450 76109081 152218162 228327243 380545405 456654486 761090810 1141636215 1902727025 2283272430 3805454050 5708181075 11416362150