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4684774864 = 2471117223681
BaseRepresentation
bin1000101110011101…
…11111110111010000
3110002111020012222011
410113032333313100
534043300243424
62052510552304
7224043633520
oct42716776720
913074205864
104684774864
111a94484770
12aa8b08694
1359875cb43
14326287680
151c643b694
hex1173bfdd0

4684774864 has 80 divisors (see below), whose sum is σ = 11982197376. Its totient is φ = 1717862400.

The previous prime is 4684774859. The next prime is 4684774877.

It is a happy number.

4684774864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4684774799 and 4684774808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90897 + ... + 132784.

Almost surely, 24684774864 is an apocalyptic number.

4684774864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4684774864 is an abundant number, since it is smaller than the sum of its proper divisors (7297422512).

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

4684774864 is a wasteful number, since it uses less digits than its factorization.

4684774864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223724 (or 223718 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 58.

The square root of 4684774864 is about 68445.4152153378. The cubic root of 4684774864 is about 1673.2579930771.

The spelling of 4684774864 in words is "four billion, six hundred eighty-four million, seven hundred seventy-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 34 44 56 68 77 88 112 119 136 154 176 187 238 272 308 374 476 616 748 952 1232 1309 1496 1904 2618 2992 5236 10472 20944 223681 447362 894724 1565767 1789448 2460491 3131534 3578896 3802577 4920982 6263068 7605154 9841964 12526136 15210308 17223437 19683928 25052272 26618039 30420616 34446874 39367856 41828347 53236078 60841232 68893748 83656694 106472156 137787496 167313388 212944312 275574992 292798429 334626776 425888624 585596858 669253552 1171193716 2342387432 4684774864