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3945555640 = 2351361173719
BaseRepresentation
bin1110101100101100…
…0110011010111000
3101011222020222211101
43223023012122320
531040030240030
61451302541144
7166526445445
oct35313063270
911158228741
103945555640
111745188394
129214377b4
134ab56b410
142960209cc
151815bd7ca
hexeb2c66b8

3945555640 has 128 divisors (see below), whose sum is σ = 9786873600. Its totient is φ = 1422673920.

The previous prime is 3945555587. The next prime is 3945555661. The reversal of 3945555640 is 465555493.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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, 5487201 + ... + 5487919.

It is an arithmetic number, because the mean of its divisors is an integer number (76459950).

Almost surely, 23945555640 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 3945555640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893436800).

3945555640 is an abundant number, since it is smaller than the sum of its proper divisors (5841317960).

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

3945555640 is a wasteful number, since it uses less digits than its factorization.

3945555640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 46.

The square root of 3945555640 is about 62813.6580689264. The cubic root of 3945555640 is about 1580.1660403403.

The spelling of 3945555640 in words is "three billion, nine hundred forty-five million, five hundred fifty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 173 244 260 305 346 488 520 610 692 719 793 865 1220 1384 1438 1586 1730 2249 2440 2876 3172 3460 3595 3965 4498 5752 6344 6920 7190 7930 8996 9347 10553 11245 14380 15860 17992 18694 21106 22490 28760 31720 37388 42212 43859 44980 46735 52765 74776 84424 87718 89960 93470 105530 124387 137189 175436 186940 211060 219295 248774 274378 350872 373880 422120 438590 497548 548756 570167 621935 685945 877180 995096 1097512 1140334 1243870 1371890 1617031 1754360 2280668 2487740 2743780 2850835 3234062 4561336 4975480 5487560 5701670 6468124 7587607 8085155 11403340 12936248 15175214 16170310 22806680 30350428 32340620 37938035 60700856 64681240 75876070 98638891 151752140 197277782 303504280 394555564 493194455 789111128 986388910 1972777820 3945555640