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68241997824 = 2143711131973
BaseRepresentation
bin111111100011100010…
…100100000000000000
320112010220100200020220
4333203202210000000
52104224422412244
651203330503040
74634046260610
oct774342440000
9215126320226
1068241997824
1126a39913010
1211286134a80
136587170590
143435352a40
151b96101319
hexfe38a4000

68241997824 has 960 divisors, whose sum is σ = 260709980160. Its totient is φ = 15288238080.

The previous prime is 68241997783. The next prime is 68241997853. The reversal of 68241997824 is 42879914286.

Its product of digits (13934592) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934821852 + ... + 934821924.

It is an arithmetic number, because the mean of its divisors is an integer number (271572896).

Almost surely, 268241997824 is an apocalyptic number.

68241997824 is a gapful number since it is divisible by the number (64) 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 68241997824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130354990080).

68241997824 is an abundant number, since it is smaller than the sum of its proper divisors (192467982336).

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

68241997824 is a wasteful number, since it uses less digits than its factorization.

68241997824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 128 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 60.

The spelling of 68241997824 in words is "sixty-eight billion, two hundred forty-one million, nine hundred ninety-seven thousand, eight hundred twenty-four".