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1066033165680 = 243557191034003
BaseRepresentation
bin11111000001101001000…
…01110011010101110000
310202220121200110210200000
433200310201303111300
5114431213442300210
62133421234230000
7140006203254030
oct17406441632560
93686550423600
101066033165680
11381113a2669a
12152730425300
13796ac934642
143984c29d8c0
151cae39a3ac0
hexf834873570

1066033165680 has 960 divisors, whose sum is σ = 4510884618240. Its totient is φ = 228541989888.

The previous prime is 1066033165651. The next prime is 1066033165693. The reversal of 1066033165680 is 865613306601.

1066033165680 is a `hidden beast` number, since 1 + 0 + 6 + 603 + 31 + 6 + 5 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×10660331656802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 266306559 + ... + 266310561.

It is an arithmetic number, because the mean of its divisors is an integer number (4698838144).

Almost surely, 21066033165680 is an apocalyptic number.

1066033165680 is a gapful number since it is divisible by the number (10) 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 1066033165680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255442309120).

1066033165680 is an abundant number, since it is smaller than the sum of its proper divisors (3444851452560).

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

1066033165680 is a wasteful number, since it uses less digits than its factorization.

1066033165680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1066033165680 in words is "one trillion, sixty-six billion, thirty-three million, one hundred sixty-five thousand, six hundred eighty".