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11253555612 = 22331334723099
BaseRepresentation
bin10100111101100001…
…11010000110011100
31002001021112212011000
422132300322012130
5141021402234422
65100402430300
7545605434015
oct123660720634
932037485130
1011253555612
11485537a992
122220962390
1310a4613560
1478a83400c
1545ce76cac
hex29ec3a19c

11253555612 has 96 divisors (see below), whose sum is σ = 31512096000. Its totient is φ = 3452504256.

The previous prime is 11253555553. The next prime is 11253555617. The reversal of 11253555612 is 21655535211.

11253555612 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 35 + 5 + 5 + 612 = 666.

11253555612 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11253555617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 475639 + ... + 498737.

It is an arithmetic number, because the mean of its divisors is an integer number (328251000).

Almost surely, 211253555612 is an apocalyptic number.

11253555612 is a gapful number since it is divisible by the number (12) 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 11253555612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15756048000).

11253555612 is an abundant number, since it is smaller than the sum of its proper divisors (20258540388).

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

11253555612 is a wasteful number, since it uses less digits than its factorization.

11253555612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23472 (or 23464 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The spelling of 11253555612 in words is "eleven billion, two hundred fifty-three million, five hundred fifty-five thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 347 351 468 694 702 1041 1388 1404 2082 3123 4164 4511 6246 9022 9369 12492 13533 18044 18738 23099 27066 37476 40599 46198 54132 69297 81198 92396 121797 138594 162396 207891 243594 277188 300287 415782 487188 600574 623673 831564 900861 1201148 1247346 1801722 2494692 2702583 3603444 5405166 8015353 8107749 10810332 16030706 16215498 24046059 32061412 32430996 48092118 72138177 96184236 104199589 144276354 208399178 216414531 288552708 312598767 416798356 432829062 625197534 865658124 937796301 1250395068 1875592602 2813388903 3751185204 5626777806 11253555612