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32020190377344 = 27321317271791319
BaseRepresentation
bin1110100011111010010000…
…00100101011010110000000
311012101002201010022001022200
413101331020010223112000
513144104322214033334
6152033512234033200
76513245111310201
oct721751004532600
9135332633261280
1032020190377344
11a225760781204
123711888b78800
1314b364c946660
147c9add51b5a8
153a7dba5ca799
hex1d1f4812b580

32020190377344 has 1152 divisors, whose sum is σ = 108329405184000. Its totient is φ = 9019644641280.

The previous prime is 32020190377321. The next prime is 32020190377379. The reversal of 32020190377344 is 44377309102023.

32020190377344 is a `hidden beast` number, since 32 + 0 + 20 + 190 + 3 + 77 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 32020190377344.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 24276110317 + ... + 24276111635.

It is an arithmetic number, because the mean of its divisors is an integer number (94035942000).

Almost surely, 232020190377344 is an apocalyptic number.

32020190377344 is a gapful number since it is divisible by the number (34) 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 32020190377344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54164702592000).

32020190377344 is an abundant number, since it is smaller than the sum of its proper divisors (76309214806656).

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

32020190377344 is a wasteful number, since it uses less digits than its factorization.

32020190377344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

Adding to 32020190377344 its reverse (44377309102023), we get a palindrome (76397499479367).

The spelling of 32020190377344 in words is "thirty-two trillion, twenty billion, one hundred ninety million, three hundred seventy-seven thousand, three hundred forty-four".