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66144700000 = 255519311123
BaseRepresentation
bin111101100110100010…
…000000011001100000
320022201201220220111201
4331212202000121200
52040431020400000
650215250250544
74531061446651
oct754642003140
9208651826451
1066144700000
1126062a60125
121099b886a54
1363117ba652
1432b69ab528
151ac1e1e96a
hexf66880660

66144700000 has 288 divisors, whose sum is σ = 177018670080. Its totient is φ = 24235200000.

The previous prime is 66144699977. The next prime is 66144700001. The reversal of 66144700000 is 744166.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66144700001) 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, 58899439 + ... + 58900561.

It is an arithmetic number, because the mean of its divisors is an integer number (614648160).

Almost surely, 266144700000 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 66144700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88509335040).

66144700000 is an abundant number, since it is smaller than the sum of its proper divisors (110873970080).

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

66144700000 is a wasteful number, since it uses less digits than its factorization.

66144700000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 66144700000 in words is "sixty-six billion, one hundred forty-four million, seven hundred thousand".