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4331771690680 = 23571918122320173
BaseRepresentation
bin111111000010010001101…
…101100111111010111000
3120100010001121122211202201
4333002101231213322320
51031432432023100210
613113553300435544
7624650224564330
oct77022155477270
916303047584681
104331771690680
111420104210375
1259b6396a8bb4
1325563b079bc5
1410d931d140c0
1577a2caa853a
hex3f091b67eb8

4331771690680 has 256 divisors, whose sum is σ = 11843332300800. Its totient is φ = 1392894351360.

The previous prime is 4331771690671. The next prime is 4331771690689. The reversal of 4331771690680 is 860961771334.

It is an interprime number because it is at equal distance from previous prime (4331771690671) and next prime (4331771690689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331771690689) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214721074 + ... + 214741246.

It is an arithmetic number, because the mean of its divisors is an integer number (46263016800).

Almost surely, 24331771690680 is an apocalyptic number.

4331771690680 is a gapful number since it is divisible by the number (40) 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 4331771690680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5921666150400).

4331771690680 is an abundant number, since it is smaller than the sum of its proper divisors (7511560610120).

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

4331771690680 is a wasteful number, since it uses less digits than its factorization.

4331771690680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20614 (or 20610 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 55.

The spelling of 4331771690680 in words is "four trillion, three hundred thirty-one billion, seven hundred seventy-one million, six hundred ninety thousand, six hundred eighty".