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68002373256480 = 253251322737934219
BaseRepresentation
bin11110111011001000010010…
…10011010100010100100000
322220202222000022110211200200
433131210021103110110200
532403122330023201410
6400343505313345200
720216003126335035
oct1735441123242440
9286688008424620
1068002373256480
111a73870a981033
127763395268200
132bc379a056610
1412b149227338c
157cdd7005a3c0
hex3dd9094d4520

68002373256480 has 576 divisors, whose sum is σ = 251135329011840. Its totient is φ = 16656962715648.

The previous prime is 68002373256443. The next prime is 68002373256487. The reversal of 68002373256480 is 8465237320086.

68002373256480 is a `hidden beast` number, since 6 + 8 + 0 + 0 + 2 + 3 + 73 + 2 + 564 + 8 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (68002373256487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16118123811 + ... + 16118128029.

It is an arithmetic number, because the mean of its divisors is an integer number (435998835090).

Almost surely, 268002373256480 is an apocalyptic number.

68002373256480 is a gapful number since it is divisible by the number (60) 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 68002373256480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125567664505920).

68002373256480 is an abundant number, since it is smaller than the sum of its proper divisors (183132955755360).

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

68002373256480 is a wasteful number, since it uses less digits than its factorization.

68002373256480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8262 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 68002373256480 in words is "sixty-eight trillion, two billion, three hundred seventy-three million, two hundred fifty-six thousand, four hundred eighty".