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3819778506 = 2331931111971
BaseRepresentation
bin1110001110101101…
…0011000111001010
3100212012120212001000
43203223103013022
530310330403011
61431011035430
7163441403325
oct34353230712
910765525030
103819778506
111690190145
128a729bb76
1348b4a0a8b
1428343d7bc
15175526356
hexe3ad31ca

3819778506 has 64 divisors (see below), whose sum is σ = 8964633600. Its totient is φ = 1202266800.

The previous prime is 3819778499. The next prime is 3819778507. The reversal of 3819778506 is 6058779183.

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 (3819778507) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 313101 + ... + 325071.

It is an arithmetic number, because the mean of its divisors is an integer number (140072400).

Almost surely, 23819778506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3819778506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482316800).

3819778506 is an abundant number, since it is smaller than the sum of its proper divisors (5144855094).

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

3819778506 is a wasteful number, since it uses less digits than its factorization.

3819778506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 3819778506 is about 61804.3566910942. The cubic root of 3819778506 is about 1563.1934508809.

The spelling of 3819778506 in words is "three billion, eight hundred nineteen million, seven hundred seventy-eight thousand, five hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 311 342 513 622 933 1026 1866 2799 5598 5909 8397 11818 11971 16794 17727 23942 35454 35913 53181 71826 106362 107739 159543 215478 227449 319086 323217 454898 646434 682347 1364694 2047041 3722981 4094082 6141123 7445962 11168943 12282246 22337886 33506829 67013658 70736639 100520487 141473278 201040974 212209917 424419834 636629751 1273259502 1909889253 3819778506