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68052157056 = 27321337191643
BaseRepresentation
bin111111011000001110…
…011000001010000000
320111122200010202200100
4333120032120022000
52103332323011211
651132425522400
74626252535152
oct773016301200
9214580122610
1068052157056
1126951739914
1211232643400
136556a32470
143418056ad2
151b84602156
hexfd8398280

68052157056 has 384 divisors, whose sum is σ = 218063139840. Its totient is φ = 20235018240.

The previous prime is 68052157049. The next prime is 68052157057. The reversal of 68052157056 is 65075125086.

68052157056 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 21 + 570 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×680521570563 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (68052157057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105835071 + ... + 105835713.

It is an arithmetic number, because the mean of its divisors is an integer number (567872760).

Almost surely, 268052157056 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 68052157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109031569920).

68052157056 is an abundant number, since it is smaller than the sum of its proper divisors (150010982784).

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

68052157056 is a wasteful number, since it uses less digits than its factorization.

68052157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 68052157056 in words is "sixty-eight billion, fifty-two million, one hundred fifty-seven thousand, fifty-six".