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132478486110300 = 2235211617122353201
BaseRepresentation
bin11110000111110100001101…
…000110101110000001011100
3122101001211010110220000110210
4132013310031012232001130
5114331011414421012200
61145431435404532420
736622153246064541
oct3607641506560134
9571054113800423
10132478486110300
11392368a077a780
1212a37274b51110
1358bc88aa46275
14249ddc88acbc8
15104b10959d650
hex787d0d1ae05c

132478486110300 has 288 divisors, whose sum is σ = 419178329869824. Its totient is φ = 32037125120000.

The previous prime is 132478486110251. The next prime is 132478486110371. The reversal of 132478486110300 is 3011684874231.

It is a self number, because there is not a number n which added to its sum of digits gives 132478486110300.

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 95 ways as a sum of consecutive naturals, for example, 2490123700 + ... + 2490176900.

It is an arithmetic number, because the mean of its divisors is an integer number (1455480312048).

Almost surely, 2132478486110300 is an apocalyptic number.

132478486110300 is a gapful number since it is divisible by the number (10) 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 132478486110300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209589164934912).

132478486110300 is an abundant number, since it is smaller than the sum of its proper divisors (286699843759524).

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

132478486110300 is a wasteful number, since it uses less digits than its factorization.

132478486110300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55069 (or 55062 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 132478486110300 in words is "one hundred thirty-two trillion, four hundred seventy-eight billion, four hundred eighty-six million, one hundred ten thousand, three hundred".