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4694774964 = 22311611274591
BaseRepresentation
bin1000101111101010…
…01001010010110100
3110010012001021112020
410113311021102310
534103330244324
62053505153140
7224224633365
oct42765112264
913105037466
104694774964
111a9a094a10
12ab032b7b0
1359a851769
1432772bb6c
151c7264679
hex117d494b4

4694774964 has 96 divisors (see below), whose sum is σ = 12244549632. Its totient is φ = 1388016000.

The previous prime is 4694774941. The next prime is 4694774969.

4694774964 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4694774898 and 4694774907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4694774969) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020309 + ... + 1024899.

It is an arithmetic number, because the mean of its divisors is an integer number (127547392).

Almost surely, 24694774964 is an apocalyptic number.

4694774964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4694774964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122274816).

4694774964 is an abundant number, since it is smaller than the sum of its proper divisors (7549774668).

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

4694774964 is a wasteful number, since it uses less digits than its factorization.

4694774964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4797 (or 4795 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 4694774964 is about 68518.4279154156. The cubic root of 4694774964 is about 1674.4477233529.

The spelling of 4694774964 in words is "four billion, six hundred ninety-four million, seven hundred seventy-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 127 132 183 244 254 366 381 508 671 732 762 1342 1397 1524 2013 2684 2794 4026 4191 4591 5588 7747 8052 8382 9182 13773 15494 16764 18364 23241 27546 30988 46482 50501 55092 85217 92964 101002 151503 170434 202004 255651 280051 303006 340868 511302 560102 583057 606012 840153 1022604 1120204 1166114 1680306 1749171 2332228 3080561 3360612 3498342 6161122 6413627 6996684 9241683 12322244 12827254 18483366 19240881 25654508 35566477 36966732 38481762 71132954 76963524 106699431 142265908 213398862 391231247 426797724 782462494 1173693741 1564924988 2347387482 4694774964