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66983436 = 2237131931
BaseRepresentation
bin1111111110000…
…1011000001100
311200001010000000
43333201120030
5114121432221
610351404300
71442230662
oct377413014
9150033000
1066983436
11348a0713
121a523690
1310b53790
148c78c32
155d31e26
hex3fe160c

66983436 has 192 divisors, whose sum is σ = 205721600. Its totient is φ = 18895680.

The previous prime is 66983419. The next prime is 66983437. The reversal of 66983436 is 63438966.

It is a junction number, because it is equal to n+sod(n) for n = 66983391 and 66983400.

It is not an unprimeable number, because it can be changed into a prime (66983437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2160741 + ... + 2160771.

Almost surely, 266983436 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 66983436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102860800).

66983436 is an abundant number, since it is smaller than the sum of its proper divisors (138738164).

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

66983436 is a wasteful number, since it uses less digits than its factorization.

66983436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 68 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 66983436 is about 8184.3409019908. The cubic root of 66983436 is about 406.1213368965.

The spelling of 66983436 in words is "sixty-six million, nine hundred eighty-three thousand, four hundred thirty-six".