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11442450450 = 23521311573709
BaseRepresentation
bin10101010100000010…
…11111000000010010
31002112102222201011010
422222001133000102
5141413231403300
65131231231350
7553361136564
oct125201370022
932472881133
1011442450450
114941a68422
122274078556
1311047acc52
147a7965334
1546e83aa50
hex2aa05f012

11442450450 has 96 divisors (see below), whose sum is σ = 28783782720. Its totient is φ = 3007929600.

The previous prime is 11442450433. The next prime is 11442450463. The reversal of 11442450450 is 5405424411.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3083196 + ... + 3086904.

It is an arithmetic number, because the mean of its divisors is an integer number (299831070).

Almost surely, 211442450450 is an apocalyptic number.

11442450450 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 11442450450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14391891360).

11442450450 is an abundant number, since it is smaller than the sum of its proper divisors (17341332270).

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

11442450450 is a wasteful number, since it uses less digits than its factorization.

11442450450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4012 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 11442450450 its reverse (5405424411), we get a palindrome (16847874861).

The spelling of 11442450450 in words is "eleven billion, four hundred forty-two million, four hundred fifty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 131 150 157 262 314 393 471 655 785 786 942 1310 1570 1965 2355 3275 3709 3925 3930 4710 6550 7418 7850 9825 11127 11775 18545 19650 20567 22254 23550 37090 41134 55635 61701 92725 102835 111270 123402 185450 205670 278175 308505 485879 514175 556350 582313 617010 971758 1028350 1164626 1457637 1542525 1746939 2429395 2911565 2915274 3085050 3493878 4858790 5823130 7288185 8734695 12146975 14557825 14576370 17469390 24293950 29115650 36440925 43673475 72881850 76283003 87346950 152566006 228849009 381415015 457698018 762830030 1144245045 1907075075 2288490090 3814150150 5721225225 11442450450