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69966300690 = 23451121389617
BaseRepresentation
bin100000100101001010…
…0010000011000010010
320200121001221100010000
41001022110100120102
52121242333110230
652050404350430
75024554512636
oct1011224203022
9220531840100
1069966300690
1127744175300
12116876a5416
1367a0478930
14355a362dc6
151c476a5b60
hex104a510612

69966300690 has 480 divisors, whose sum is σ = 225563350320. Its totient is φ = 15455784960.

The previous prime is 69966300683. The next prime is 69966300697. The reversal of 69966300690 is 9600366996.

It is an interprime number because it is at equal distance from previous prime (69966300683) and next prime (69966300697).

It can be written as a sum of positive squares in 8 ways, for example, as 148279329 + 69818021361 = 12177^2 + 264231^2 .

It is a super-2 number, since 2×699663006902 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (69966300697) 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 239 ways as a sum of consecutive naturals, for example, 113397262 + ... + 113397878.

Almost surely, 269966300690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69966300690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112781675160).

69966300690 is an abundant number, since it is smaller than the sum of its proper divisors (155597049630).

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

69966300690 is a wasteful number, since it uses less digits than its factorization.

69966300690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 2834352, while the sum is 54.

The spelling of 69966300690 in words is "sixty-nine billion, nine hundred sixty-six million, three hundred thousand, six hundred ninety".