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3968536650 = 23521319434753
BaseRepresentation
bin1110110010001011…
…0001000001001010
3101020120111112211220
43230202301001022
531111421133100
61453443302510
7200226001461
oct35442610112
911216445756
103968536650
111757154361
1292907aa36
134b3256650
142990c39d8
1518360caa0
hexec8b104a

3968536650 has 384 divisors, whose sum is σ = 11879239680. Its totient is φ = 868008960.

The previous prime is 3968536643. The next prime is 3968536651. The reversal of 3968536650 is 566358693.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3968536593 and 3968536602.

It is not an unprimeable number, because it can be changed into a prime (3968536651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74878024 + ... + 74878076.

It is an arithmetic number, because the mean of its divisors is an integer number (30935520).

Almost surely, 23968536650 is an apocalyptic number.

3968536650 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968536650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939619840).

3968536650 is an abundant number, since it is smaller than the sum of its proper divisors (7910703030).

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

3968536650 is a wasteful number, since it uses less digits than its factorization.

3968536650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The square root of 3968536650 is about 62996.3225117149. The cubic root of 3968536650 is about 1583.2280117077.

The spelling of 3968536650 in words is "three billion, nine hundred sixty-eight million, five hundred thirty-six thousand, six hundred fifty".