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5506106100 = 22352111668517
BaseRepresentation
bin1010010000011000…
…01000001011110100
3112012201201011121120
411020030020023310
542234030343400
62310210543540
7253306062315
oct51014101364
915181634546
105506106100
112376065010
121097b97bb0
13699971061
143a33a660c
152235c8ca0
hex1483082f4

5506106100 has 72 divisors (see below), whose sum is σ = 17379283488. Its totient is φ = 1334812800.

The previous prime is 5506106077. The next prime is 5506106101. The reversal of 5506106100 is 16016055.

It is a super-5 number, since 5×55061061005 (a number of 50 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5506106101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 830959 + ... + 837558.

Almost surely, 25506106100 is an apocalyptic number.

5506106100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5506106100 is an abundant number, since it is smaller than the sum of its proper divisors (11873177388).

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

5506106100 is a wasteful number, since it uses less digits than its factorization.

5506106100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668545 (or 1668538 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5506106100 is about 74203.1407691076. The cubic root of 5506106100 is about 1765.8271581929.

The spelling of 5506106100 in words is "five billion, five hundred six million, one hundred 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 1668517 3337034 5005551 6674068 8342585 10011102 16685170 18353687 20022204 25027755 33370340 36707374 41712925 50055510 55061061 73414748 83425850 91768435 100111020 110122122 125138775 166851700 183536870 220244244 250277550 275305305 367073740 458842175 500555100 550610610 917684350 1101221220 1376526525 1835368700 2753053050 5506106100