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55506056100 = 223521116820017
BaseRepresentation
bin110011101100011010…
…110011001110100100
312022021022102210122120
4303230122303032210
51402134022243400
641255451225540
74003330456305
oct635432631644
9168238383576
1055506056100
11215a37a3540
12a910a482b0
1353076c40a1
142987ac27ac
15169ce5dca0
hexcec6b33a4

55506056100 has 72 divisors (see below), whose sum is σ = 175197307488. Its totient is φ = 13456012800.

The previous prime is 55506056093. The next prime is 55506056107. The reversal of 55506056100 is 165060555.

It is an interprime number because it is at equal distance from previous prime (55506056093) and next prime (55506056107).

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

It is not an unprimeable number, because it can be changed into a prime (55506056107) by changing a digit.

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, 8406709 + ... + 8413308.

Almost surely, 255506056100 is an apocalyptic number.

55506056100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55506056100 is an abundant number, since it is smaller than the sum of its proper divisors (119691251388).

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

55506056100 is a wasteful number, since it uses less digits than its factorization.

55506056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16820045 (or 16820038 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 55506056100 in words is "fifty-five billion, five hundred six million, fifty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 16820017 33640034 50460051 67280068 84100085 100920102 168200170 185020187 201840204 252300255 336400340 370040374 420500425 504600510 555060561 740080748 841000850 925100935 1009201020 1110121122 1261501275 1682001700 1850201870 2220242244 2523002550 2775302805 3700403740 4625504675 5046005100 5550605610 9251009350 11101211220 13876514025 18502018700 27753028050 55506056100