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55505611050006 = 23131761767843493
BaseRepresentation
bin11001001111011011010000…
…01110101100110000010110
321021112021200110122222101110
430213231220032230300112
524233400442412100011
6314014531541235450
714456101533251205
oct1447555016546026
9237467613588343
1055505611050006
111675a885455a57
126285438a02b86
1324c820625ac30
14d9c6b349723c
15663c658bcba6
hex327b683acc16

55505611050006 has 64 divisors (see below), whose sum is σ = 126788092579008. Its totient is φ = 16047970971648.

The previous prime is 55505611049971. The next prime is 55505611050041. The reversal of 55505611050006 is 60005011650555.

55505611050006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55505611049971) and next prime (55505611050041).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33103605 + ... + 34739888.

It is an arithmetic number, because the mean of its divisors is an integer number (1981063946547).

Almost surely, 255505611050006 is an apocalyptic number.

55505611050006 is an abundant number, since it is smaller than the sum of its proper divisors (71282481529002).

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

55505611050006 is a wasteful number, since it uses less digits than its factorization.

55505611050006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67844145.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 55505611050006 in words is "fifty-five trillion, five hundred five billion, six hundred eleven million, fifty thousand, six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 617 663 1234 1326 1851 3702 8021 10489 16042 20978 24063 31467 48126 62934 136357 272714 409071 818142 67843493 135686986 203530479 407060958 881965409 1153339381 1763930818 2306678762 2645896227 3460018143 5291792454 6920036286 14993411953 29986823906 41859435181 44980235859 83718870362 89960471718 125578305543 251156611086 544172657353 711610398077 1088345314706 1423220796154 1632517972059 2134831194231 3265035944118 4269662388462 9250935175001 18501870350002 27752805525003 55505611050006