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68270923377792 = 27331929257139501
BaseRepresentation
bin11111000010111100100000…
…01000101110110010000000
322221201122012000220111102000
433201132100020232302000
532422022322341042132
6401111121302424000
720244261060605112
oct1741362010566200
9287648160814360
1068270923377792
111a831599477a53
1277a7442132000
132c12bc72c9545
1412c048a5933b2
157d5d3b69687c
hex3e179022ec80

68270923377792 has 512 divisors, whose sum is σ = 220268077920000. Its totient is φ = 20734672896000.

The previous prime is 68270923377791. The next prime is 68270923377793. The reversal of 68270923377792 is 29777332907286.

68270923377792 is a `hidden beast` number, since 6 + 82 + 7 + 0 + 92 + 3 + 377 + 7 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (68270923377791) and next prime (68270923377793).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 68270923377792.

It is not an unprimeable number, because it can be changed into a prime (68270923377791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 489324042 + ... + 489463542.

Almost surely, 268270923377792 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 68270923377792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110134038960000).

68270923377792 is an abundant number, since it is smaller than the sum of its proper divisors (151997154542208).

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

68270923377792 is a wasteful number, since it uses less digits than its factorization.

68270923377792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139829 (or 139811 counting only the distinct ones).

The product of its (nonzero) digits is 672126336, while the sum is 72.

The spelling of 68270923377792 in words is "sixty-eight trillion, two hundred seventy billion, nine hundred twenty-three million, three hundred seventy-seven thousand, seven hundred ninety-two".