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132201433343520 = 253251723317574173
BaseRepresentation
bin11110000011110010001011…
…011110010010011000100000
3122100002100000012020012220100
4132003302023132102120200
5114311442013413443040
61145100300002342400
736563144521321602
oct3603621336223040
9570070005205810
10132201433343520
113913a349702432
12129b163465aa00
13589c70708cc88
142490825241172
151043ce1779b30
hex783c8b792620

132201433343520 has 576 divisors, whose sum is σ = 514522244081664. Its totient is φ = 30713570426880.

The previous prime is 132201433343477. The next prime is 132201433343647. The reversal of 132201433343520 is 25343334102231.

132201433343520 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 1 + 43 + 33 + 43 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13667154 + ... + 21241326.

It is an arithmetic number, because the mean of its divisors is an integer number (893267784864).

Almost surely, 2132201433343520 is an apocalyptic number.

132201433343520 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 132201433343520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257261122040832).

132201433343520 is an abundant number, since it is smaller than the sum of its proper divisors (382320810738144).

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

132201433343520 is a wasteful number, since it uses less digits than its factorization.

132201433343520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7574265 (or 7574254 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 132201433343520 its reverse (25343334102231), we get a palindrome (157544767445751).

The spelling of 132201433343520 in words is "one hundred thirty-two trillion, two hundred one billion, four hundred thirty-three million, three hundred forty-three thousand, five hundred twenty".