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32198941135872 = 210327312519371
BaseRepresentation
bin1110101001000111001100…
…11100101101010000000000
311020000012002120101102102200
413110203212130231100000
513210021412412321442
6152251553411113200
76532203530553660
oct724434634552000
9136005076342380
1032198941135872
11a294548934815
1237404542a2800
1314c7468815664
147d461944a1a0
153ac87d2bd34c
hex1d48e672d400

32198941135872 has 396 divisors, whose sum is σ = 109794089871648. Its totient is φ = 8902915891200.

The previous prime is 32198941135871. The next prime is 32198941135909. The reversal of 32198941135872 is 27853114989123.

It is a happy number.

32198941135872 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 8 + 9 + 41 + 1 + 3 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32198941135871) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 61736347 + ... + 62255717.

Almost surely, 232198941135872 is an apocalyptic number.

32198941135872 is a gapful number since it is divisible by the number (32) 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 32198941135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54897044935824).

32198941135872 is an abundant number, since it is smaller than the sum of its proper divisors (77595148735776).

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

32198941135872 is a wasteful number, since it uses less digits than its factorization.

32198941135872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519466 (or 519414 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 32198941135872 in words is "thirty-two trillion, one hundred ninety-eight billion, nine hundred forty-one million, one hundred thirty-five thousand, eight hundred seventy-two".