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35204420220000 = 253545771016881
BaseRepresentation
bin10000000000100101010101…
…11101100011010001100000
311121122111202120112000022120
420000102222331203101200
514103242123034020000
6202512404250304240
710262302231350213
oct1000225275432140
9147574676460276
1035204420220000
1110243124489499
123b46a29128080
1316849bb514c75
14899c8dcb377a
15410b33a4e6a0
hex2004aaf63460

35204420220000 has 240 divisors, whose sum is σ = 115677787346352. Its totient is φ = 9371566080000.

The previous prime is 35204420219971. The next prime is 35204420220037. The reversal of 35204420220000 is 2202440253.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34111560 + ... + 35128440.

Almost surely, 235204420220000 is an apocalyptic number.

35204420220000 is a gapful number since it is divisible by the number (30) 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 35204420220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57838893673176).

35204420220000 is an abundant number, since it is smaller than the sum of its proper divisors (80473367126352).

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

35204420220000 is a wasteful number, since it uses less digits than its factorization.

35204420220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017491 (or 1017468 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 35204420220000 its reverse (2202440253), we get a palindrome (35206622660253).

The spelling of 35204420220000 in words is "thirty-five trillion, two hundred four billion, four hundred twenty million, two hundred twenty thousand".