Search a number
-
+
3965273004 = 22371135312157
BaseRepresentation
bin1110110001011001…
…0100001110101100
3101020100100201222010
43230112110032230
531110102214004
61453245321220
7200156156460
oct35426241654
911210321863
103965273004
111755325330
12927b66210
134b2682cb4
142988b44a0
151831b5a89
hexec5943ac

3965273004 has 96 divisors (see below), whose sum is σ = 11568969216. Its totient is φ = 1026938880.

The previous prime is 3965272999. The next prime is 3965273027. The reversal of 3965273004 is 4003725693.

3965273004 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320094 + ... + 332250.

It is an arithmetic number, because the mean of its divisors is an integer number (120510096).

Almost surely, 23965273004 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 3965273004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784484608).

3965273004 is an abundant number, since it is smaller than the sum of its proper divisors (7603696212).

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

3965273004 is a wasteful number, since it uses less digits than its factorization.

3965273004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12535 (or 12533 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 3965273004 is about 62970.4137194603. The cubic root of 3965273004 is about 1582.7938875532.

Adding to 3965273004 its reverse (4003725693), we get a palindrome (7968998697).

The spelling of 3965273004 in words is "three billion, nine hundred sixty-five million, two hundred seventy-three thousand, four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 353 462 706 924 1059 1412 2118 2471 3883 4236 4942 7413 7766 9884 11649 12157 14826 15532 23298 24314 27181 29652 36471 46596 48628 54362 72942 81543 85099 108724 133727 145884 163086 170198 255297 267454 326172 340396 401181 510594 534908 802362 936089 1021188 1604724 1872178 2808267 3744356 4291421 5616534 8582842 11233068 12874263 17165684 25748526 30039947 47205631 51497052 60079894 90119841 94411262 120159788 141616893 180239682 188822524 283233786 330439417 360479364 566467572 660878834 991318251 1321757668 1982636502 3965273004