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768682930232 = 2371941611511913
BaseRepresentation
bin10110010111110010001…
…00101011000000111000
32201111002211112202112202
423023321010223000320
5100043230312231412
61345043354525332
7106351452046430
oct13137104530070
92644084482482
10768682930232
11276aa6524758
12104b86436848
1357642a80b69
14292c10352c0
1514eddc553c2
hexb2f912b038

768682930232 has 256 divisors, whose sum is σ = 1818183628800. Its totient is φ = 297354240000.

The previous prime is 768682930217. The next prime is 768682930277. The reversal of 768682930232 is 232039286867.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 401819708 + ... + 401821620.

It is an arithmetic number, because the mean of its divisors is an integer number (7102279800).

Almost surely, 2768682930232 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 768682930232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909091814400).

768682930232 is an abundant number, since it is smaller than the sum of its proper divisors (1049500698568).

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

768682930232 is a wasteful number, since it uses less digits than its factorization.

768682930232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 56.

The spelling of 768682930232 in words is "seven hundred sixty-eight billion, six hundred eighty-two million, nine hundred thirty thousand, two hundred thirty-two".