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4016468736 = 28327249037
BaseRepresentation
bin1110111101100110…
…0111001100000000
3101100220200202022100
43233121213030000
531211203444421
61502314510400
7201350264250
oct35731471400
911326622270
104016468736
111781212455
12941135400
134c0169727
142a15dd960
15187929c26
hexef667300

4016468736 has 108 divisors (see below), whose sum is σ = 13234875472. Its totient is φ = 1147557888.

The previous prime is 4016468681. The next prime is 4016468747. The reversal of 4016468736 is 6378646104.

It is a happy number.

4016468736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40164687362 = 32264042214530875392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4016468691 and 4016468700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108391 + ... + 140646.

Almost surely, 24016468736 is an apocalyptic number.

It is an amenable number.

4016468736 is an abundant number, since it is smaller than the sum of its proper divisors (9218406736).

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

4016468736 is a wasteful number, since it uses less digits than its factorization.

4016468736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249066 (or 249049 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4016468736 is about 63375.6162573588. The cubic root of 4016468736 is about 1589.5766097081.

It can be divided in two parts, 40164 and 68736, that added together give a square (108900 = 3302).

The spelling of 4016468736 in words is "four billion, sixteen million, four hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1344 1792 2016 2304 2688 4032 5376 8064 16128 249037 498074 747111 996148 1494222 1743259 1992296 2241333 2988444 3486518 3984592 4482666 5229777 5976888 6973036 7969184 8965332 10459554 11953776 13946072 15689331 15938368 17930664 20919108 23907552 27892144 31378662 31876736 35861328 41838216 47815104 55784288 62757324 63753472 71722656 83676432 95630208 111568576 125514648 143445312 167352864 191260416 223137152 251029296 286890624 334705728 446274304 502058592 573781248 669411456 1004117184 1338822912 2008234368 4016468736