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32258000000 = 27561272
BaseRepresentation
bin11110000010101110…
…100000010010000000
310002021010010012001202
4132002232200102000
51012031022000000
622452532520332
72221245322142
oct360256402200
9102233105052
1032258000000
1112753888936
1263031800a8
133071123285
1417c02a2c92
15c8bea0dd5
hex782ba0480

32258000000 has 168 divisors, whose sum is σ = 80966444085. Its totient is φ = 12801600000.

The previous prime is 32257999981. The next prime is 32258000009. The reversal of 32258000000 is 85223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 5500892224 + 26757107776 = 74168^2 + 163576^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=127000.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (32258000009) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 253999937 + ... + 254000063.

Almost surely, 232258000000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32258000000

32258000000 is an abundant number, since it is smaller than the sum of its proper divisors (48708444085).

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

32258000000 is an frugal number, since it uses more digits than its factorization.

32258000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 32258000000 its reverse (85223), we get a palindrome (32258085223).

The spelling of 32258000000 in words is "thirty-two billion, two hundred fifty-eight million", and thus it is an aban number.