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66180022272 = 21634713137
BaseRepresentation
bin111101101000101000…
…110000000000000000
320022211012101110120000
4331220220300000000
52041014041203042
650222551320000
74532000623230
oct755050600000
9208735343500
1066180022272
1126080996291
12109ab680000
136318c06cc0
1432bb563cc0
151ac509a74c
hexf68a30000

66180022272 has 680 divisors, whose sum is σ = 245125838496. Its totient is φ = 17326669824.

The previous prime is 66180022261. The next prime is 66180022277. The reversal of 66180022272 is 27222008166.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66180022277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 483065788 + ... + 483065924.

Almost surely, 266180022272 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 66180022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122562919248).

66180022272 is an abundant number, since it is smaller than the sum of its proper divisors (178945816224).

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

66180022272 is an equidigital number, since it uses as much as digits as its factorization.

66180022272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 66180022272 in words is "sixty-six billion, one hundred eighty million, twenty-two thousand, two hundred seventy-two".