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3966694816 = 257233720809
BaseRepresentation
bin1110110001101110…
…1111010110100000
3101020110000222022211
43230123233112200
531110433213231
61453340011504
7200204230630
oct35433572640
911213028284
103966694816
111756106587
12928530b94
134b2a601c6
14298b646c0
15183396eb1
hexec6ef5a0

3966694816 has 96 divisors (see below), whose sum is σ = 9565274880. Its totient is φ = 1582073856.

The previous prime is 3966694801. The next prime is 3966694819. The reversal of 3966694816 is 6184966693.

It is not an unprimeable number, because it can be changed into a prime (3966694819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180220 + ... + 201028.

It is an arithmetic number, because the mean of its divisors is an integer number (99638280).

Almost surely, 23966694816 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 3966694816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4782637440).

3966694816 is an abundant number, since it is smaller than the sum of its proper divisors (5598580064).

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

3966694816 is a wasteful number, since it uses less digits than its factorization.

3966694816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20886 (or 20878 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 58.

The square root of 3966694816 is about 62981.7022316800. The cubic root of 3966694816 is about 1582.9830436270.

The spelling of 3966694816 in words is "three billion, nine hundred sixty-six million, six hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 74 92 112 148 161 184 224 259 296 322 368 518 592 644 736 851 1036 1184 1288 1702 2072 2576 3404 4144 5152 5957 6808 8288 11914 13616 20809 23828 27232 41618 47656 83236 95312 145663 166472 190624 291326 332944 478607 582652 665888 769933 957214 1165304 1539866 1914428 2330608 3079732 3350249 3828856 4661216 5389531 6159464 6700498 7657712 10779062 12318928 13400996 15315424 17708459 21558124 24637856 26801992 35416918 43116248 53603984 70833836 86232496 107207968 123959213 141667672 172464992 247918426 283335344 495836852 566670688 991673704 1983347408 3966694816