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55212186312 = 23325983156593
BaseRepresentation
bin110011011010111001…
…110001101011001000
312021111211110200002100
4303122321301223020
51401033304430222
641210352433400
73663131561133
oct633271615310
9167454420070
1055212186312
1121462926848
12a84a548860
13528b86163a
14295aa6721a
1516822614ac
hexcdae71ac8

55212186312 has 96 divisors (see below), whose sum is σ = 153900583200. Its totient is φ = 17874037248.

The previous prime is 55212186299. The next prime is 55212186353. The reversal of 55212186312 is 21368121255.

55212186312 is a `hidden beast` number, since 5 + 5 + 2 + 1 + 2 + 18 + 631 + 2 = 666.

It is a super-2 number, since 2×552121863122 (a number of 22 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 274288 + ... + 430880.

It is an arithmetic number, because the mean of its divisors is an integer number (1603131075).

Almost surely, 255212186312 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 55212186312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76950291600).

55212186312 is an abundant number, since it is smaller than the sum of its proper divisors (98688396888).

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

55212186312 is a wasteful number, since it uses less digits than its factorization.

55212186312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156747 (or 156740 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 55212186312 in words is "fifty-five billion, two hundred twelve million, one hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 59 72 83 118 166 177 236 249 332 354 472 498 531 664 708 747 996 1062 1416 1494 1992 2124 2988 4248 4897 5976 9794 14691 19588 29382 39176 44073 58764 88146 117528 156593 176292 313186 352584 469779 626372 939558 1252744 1409337 1879116 2818674 3758232 5637348 9238987 11274696 12997219 18477974 25994438 27716961 36955948 38991657 51988876 55433922 73911896 77983314 83150883 103977752 110867844 116974971 155966628 166301766 221735688 233949942 311933256 332603532 467899884 665207064 766835921 935799768 1533671842 2300507763 3067343684 4601015526 6134687368 6901523289 9202031052 13803046578 18404062104 27606093156 55212186312