Search a number
-
+
11552000545140 = 22351117503031129
BaseRepresentation
bin1010100000011010100011…
…1000111001000101110100
31111220100201210001210012020
42220012220320321011310
53003231444114421030
640322525450553140
72301414225330606
oct250065070710564
944810653053166
1011552000545140
1137541a3169650
121366a317387b0
1365a46c91a063
142bd196a87176
15150762601510
hexa81a8e39174

11552000545140 has 48 divisors (see below), whose sum is σ = 35286110758080. Its totient is φ = 2800484980480.

The previous prime is 11552000545139. The next prime is 11552000545171. The reversal of 11552000545140 is 4154500025511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8751514905 + ... + 8751516224.

It is an arithmetic number, because the mean of its divisors is an integer number (735127307460).

Almost surely, 211552000545140 is an apocalyptic number.

11552000545140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11552000545140 is an abundant number, since it is smaller than the sum of its proper divisors (23734110212940).

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

11552000545140 is a wasteful number, since it uses less digits than its factorization.

11552000545140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17503031152 (or 17503031150 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 11552000545140 in words is "eleven trillion, five hundred fifty-two billion, five hundred forty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 17503031129 35006062258 52509093387 70012124516 87515155645 105018186774 175030311290 192533342419 210036373548 262545466935 350060622580 385066684838 525090933870 577600027257 770133369676 962666712095 1050181867740 1155200054514 1925333424190 2310400109028 2888000136285 3850666848380 5776000272570 11552000545140