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4676828639964 = 223131571165716381
BaseRepresentation
bin100010000001110100010…
…1101011011001011011100
3121120002201020012001022020
41010003220231123023130
51103111121112434324
613540301100420140
7661614113345115
oct104035055331334
917502636161266
104676828639964
11154348292a538
12636498547650
1327c03b839140
141225070ab20c
15819c5ba4679
hex440e8b5b2dc

4676828639964 has 96 divisors (see below), whose sum is σ = 11828621265216. Its totient is φ = 1429648496640.

The previous prime is 4676828639941. The next prime is 4676828639971. The reversal of 4676828639964 is 4699368286764.

It is a super-2 number, since 2×46768286399642 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 4676828639964.

It is a congruent number.

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, 285495054 + ... + 285511434.

It is an arithmetic number, because the mean of its divisors is an integer number (123214804846).

Almost surely, 24676828639964 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 4676828639964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914310632608).

4676828639964 is an abundant number, since it is smaller than the sum of its proper divisors (7151792625252).

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

4676828639964 is a wasteful number, since it uses less digits than its factorization.

4676828639964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28215 (or 28213 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 78.

The spelling of 4676828639964 in words is "four trillion, six hundred seventy-six billion, eight hundred twenty-eight million, six hundred thirty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 157 314 471 628 942 1884 2041 4082 6123 8164 11657 12246 16381 23314 24492 32762 34971 46628 49143 65524 69942 98286 139884 151541 196572 212953 303082 425906 454623 606164 638859 851812 909246 1277718 1818492 1830149 2555436 2571817 3660298 5143634 5490447 7320596 7715451 10287268 10980894 15430902 21961788 23791937 30861804 33433621 47583874 66867242 71375811 95167748 100300863 133734484 142751622 190953317 200601726 285503244 381906634 401203452 572859951 763813268 1145719902 2291439804 2482393121 4964786242 7447179363 9929572484 14894358726 29788717452 29979670769 59959341538 89939012307 119918683076 179878024614 359756049228 389735719997 779471439994 1169207159991 1558942879988 2338414319982 4676828639964