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66962426900 = 2252669624269
BaseRepresentation
bin111110010111010001…
…011000110000010100
320101211201121201221012
4332113101120300110
52044114340130100
650432341111352
74560251144255
oct762721306024
9211751551835
1066962426900
11264425a9486
1210b896b8558
136412039115
14335342cb2c
151b1dae9135
hexf97458c14

66962426900 has 18 divisors (see below), whose sum is σ = 145308466590. Its totient is φ = 26784970720.

The previous prime is 66962426899. The next prime is 66962426911. The reversal of 66962426900 is 962426966.

It can be written as a sum of positive squares in 3 ways, for example, as 1792506244 + 65169920656 = 42338^2 + 255284^2 .

It is a super-2 number, since 2×669624269002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 334812035 + ... + 334812234.

Almost surely, 266962426900 is an apocalyptic number.

It is an amenable number.

66962426900 is an abundant number, since it is smaller than the sum of its proper divisors (78346039690).

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

66962426900 is a wasteful number, since it uses less digits than its factorization.

66962426900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669624283 (or 669624276 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 50.

The spelling of 66962426900 in words is "sixty-six billion, nine hundred sixty-two million, four hundred twenty-six thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 669624269 1339248538 2678497076 3348121345 6696242690 13392485380 16740606725 33481213450 66962426900