Search a number
-
+
11452546900 = 2252434336151
BaseRepresentation
bin10101010101001111…
…11111111101010100
31002120010222122212201
422222213333331110
5141423323000100
65132231454244
7553543020364
oct125247777524
932503878781
1011452546900
114947733aa3
122277527384
131106906692
147a90329a4
1547068236a
hex2aa9fff54

11452546900 has 72 divisors (see below), whose sum is σ = 25492854464. Its totient is φ = 4463424000.

The previous prime is 11452546873. The next prime is 11452546909. The reversal of 11452546900 is 964525411.

It is a super-2 number, since 2×114525469002 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11452546900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452546909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1858825 + ... + 1864975.

Almost surely, 211452546900 is an apocalyptic number.

11452546900 is a gapful number since it is divisible by the number (10) 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 11452546900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746427232).

11452546900 is an abundant number, since it is smaller than the sum of its proper divisors (14040307564).

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

11452546900 is a wasteful number, since it uses less digits than its factorization.

11452546900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6634 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The spelling of 11452546900 in words is "eleven billion, four hundred fifty-two million, five hundred forty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 433 860 866 1075 1732 2150 2165 4300 4330 6151 8660 10825 12302 18619 21650 24604 30755 37238 43300 61510 74476 93095 123020 153775 186190 264493 307550 372380 465475 528986 615100 930950 1057972 1322465 1861900 2644930 2663383 5289860 5326766 6612325 10653532 13224650 13316915 26449300 26633830 53267660 66584575 114525469 133169150 229050938 266338300 458101876 572627345 1145254690 2290509380 2863136725 5726273450 11452546900