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66003695493120 = 2133357112312273
BaseRepresentation
bin11110000000111101011101…
…10100101110000000000000
322122200220002000122120102000
433000132232310232000000
532122401032021234440
6352213402404424000
716621416050553210
oct1700365664560000
9278626060576360
1066003695493120
111a038012436200
12749bb600a8000
132aaa1777146b8
14124284b252240
15796d931b1730
hex3c07aed2e000

66003695493120 has 2688 divisors, whose sum is σ = 304429503651840. Its totient is φ = 13266793267200.

The previous prime is 66003695493103. The next prime is 66003695493137. The reversal of 66003695493120 is 2139459630066.

66003695493120 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 3 + 69 + 549 + 31 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66003695493103) and next prime (66003695493137).

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 29038140304 + ... + 29038142576.

It is an arithmetic number, because the mean of its divisors is an integer number (113255023680).

Almost surely, 266003695493120 is an apocalyptic number.

66003695493120 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 66003695493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152214751825920).

66003695493120 is an abundant number, since it is smaller than the sum of its proper divisors (238425808158720).

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

66003695493120 is a wasteful number, since it uses less digits than its factorization.

66003695493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2373 (or 2332 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 66003695493120 in words is "sixty-six trillion, three billion, six hundred ninety-five million, four hundred ninety-three thousand, one hundred twenty".