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3938316768 = 253315130187
BaseRepresentation
bin1110101010111101…
…1111000111100000
3101011110122012222000
43222233133013200
531031202114033
61450443444000
7166411066041
oct35257370740
911143565860
103938316768
111741093751
1291ab26600
134a9c05569
142950988c8
15180b3da13
hexeabdf1e0

3938316768 has 96 divisors (see below), whose sum is σ = 11563211520. Its totient is φ = 1304035200.

The previous prime is 3938316757. The next prime is 3938316791. The reversal of 3938316768 is 8676138393.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115371 + ... + 145557.

It is an arithmetic number, because the mean of its divisors is an integer number (120450120).

Almost surely, 23938316768 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 3938316768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781605760).

3938316768 is an abundant number, since it is smaller than the sum of its proper divisors (7624894752).

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

3938316768 is a wasteful number, since it uses less digits than its factorization.

3938316768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30357 (or 30343 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3938316768 is about 62756.0098157937. The cubic root of 3938316768 is about 1579.1990770590.

The spelling of 3938316768 in words is "three billion, nine hundred thirty-eight million, three hundred sixteen thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 151 216 288 302 432 453 604 864 906 1208 1359 1812 2416 2718 3624 4077 4832 5436 7248 8154 10872 14496 16308 21744 30187 32616 43488 60374 65232 90561 120748 130464 181122 241496 271683 362244 482992 543366 724488 815049 965984 1086732 1448976 1630098 2173464 2897952 3260196 4346928 4558237 6520392 8693856 9116474 13040784 13674711 18232948 26081568 27349422 36465896 41024133 54698844 72931792 82048266 109397688 123072399 145863584 164096532 218795376 246144798 328193064 437590752 492289596 656386128 984579192 1312772256 1969158384 3938316768