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4315364064 = 25321110912497
BaseRepresentation
bin1000000010011011…
…10011101011100000
3102010202010012121200
410001031303223200
532314213122224
61552113121200
7211636663224
oct40115635340
912122105550
104315364064
111914a01990
12a05259200
1353a06b77b
142cd1a6784
151a3cbb5c9
hex101373ae0

4315364064 has 144 divisors (see below), whose sum is σ = 13511337840. Its totient is φ = 1295585280.

The previous prime is 4315364051. The next prime is 4315364069. The reversal of 4315364064 is 4604635134.

4315364064 is a `hidden beast` number, since 4 + 3 + 1 + 5 + 3 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4315364069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339064 + ... + 351560.

It is an arithmetic number, because the mean of its divisors is an integer number (93828735).

Almost surely, 24315364064 is an apocalyptic number.

4315364064 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 4315364064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6755668920).

4315364064 is an abundant number, since it is smaller than the sum of its proper divisors (9195973776).

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

4315364064 is a wasteful number, since it uses less digits than its factorization.

4315364064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12633 (or 12622 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4315364064 is about 65691.4306740232. The cubic root of 4315364064 is about 1628.0677750300.

Adding to 4315364064 its reverse (4604635134), we get a palindrome (8919999198).

It can be divided in two parts, 431536 and 4064, that added together give a square (435600 = 6602).

The spelling of 4315364064 in words is "four billion, three hundred fifteen million, three hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 109 132 144 176 198 218 264 288 327 352 396 436 528 654 792 872 981 1056 1199 1308 1584 1744 1962 2398 2616 3168 3488 3597 3924 4796 5232 7194 7848 9592 10464 10791 12497 14388 15696 19184 21582 24994 28776 31392 37491 38368 43164 49988 57552 74982 86328 99976 112473 115104 137467 149964 172656 199952 224946 274934 299928 345312 399904 412401 449892 549868 599856 824802 899784 1099736 1199712 1237203 1362173 1649604 1799568 2199472 2474406 2724346 3299208 3599136 4086519 4398944 4948812 5448692 6598416 8173038 9897624 10897384 12259557 13196832 14983903 16346076 19795248 21794768 24519114 29967806 32692152 39590496 43589536 44951709 49038228 59935612 65384304 89903418 98076456 119871224 130768608 134855127 179806836 196152912 239742448 269710254 359613672 392305824 479484896 539420508 719227344 1078841016 1438454688 2157682032 4315364064