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1453066116 = 2231961191547
BaseRepresentation
bin101011010011100…
…0000011110000100
310202021012101222120
41112213000132010
510433441103431
6400104125540
751002600235
oct12647003604
93667171876
101453066116
11686244097
123467668b0
131a206b648
14dada708c
1587878196
hex569c0784

1453066116 has 96 divisors (see below), whose sum is σ = 3653099520. Its totient is φ = 448156800.

The previous prime is 1453066091. The next prime is 1453066123. The reversal of 1453066116 is 6116603541.

It is a super-2 number, since 2×14530661162 = 4222802274934650912, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2656155 + ... + 2656701.

It is an arithmetic number, because the mean of its divisors is an integer number (38053120).

Almost surely, 21453066116 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 1453066116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1826549760).

1453066116 is an abundant number, since it is smaller than the sum of its proper divisors (2200033404).

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

1453066116 is a wasteful number, since it uses less digits than its factorization.

1453066116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1453066116 is about 38119.1043441474. The cubic root of 1453066116 is about 1132.6484244259.

Adding to 1453066116 its reverse (6116603541), we get a palindrome (7569669657).

The spelling of 1453066116 in words is "one billion, four hundred fifty-three million, sixty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 61 76 114 122 183 191 228 244 366 382 547 573 732 764 1094 1146 1159 1641 2188 2292 2318 3282 3477 3629 4636 6564 6954 7258 10393 10887 11651 13908 14516 20786 21774 23302 31179 33367 34953 41572 43548 46604 62358 66734 69906 100101 104477 124716 133468 139812 200202 208954 221369 313431 400404 417908 442738 626862 633973 664107 885476 1253724 1267946 1328214 1901919 1985063 2535892 2656428 3803838 3970126 5955189 6373097 7607676 7940252 11910378 12746194 19119291 23820756 25492388 38238582 76477164 121088843 242177686 363266529 484355372 726533058 1453066116