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4515216864 = 253172766677
BaseRepresentation
bin1000011010010000…
…01011110111100000
3102122200011210010020
410031020023313200
533221343414424
62024012433440
7216614465364
oct41510136740
912580153106
104515216864
111a077a4294
12a60178880
1356c5a3a72
1430b94b2a4
151b65e7079
hex10d20bde0

4515216864 has 48 divisors (see below), whose sum is σ = 12549651408. Its totient is φ = 1416538112.

The previous prime is 4515216793. The next prime is 4515216877. The reversal of 4515216864 is 4686125154.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1381707 + ... + 1384970.

It is an arithmetic number, because the mean of its divisors is an integer number (261451071).

Almost surely, 24515216864 is an apocalyptic number.

It is an amenable number.

4515216864 is an abundant number, since it is smaller than the sum of its proper divisors (8034434544).

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

4515216864 is a wasteful number, since it uses less digits than its factorization.

4515216864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2766707 (or 2766699 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 4515216864 is about 67195.3634114736. The cubic root of 4515216864 is about 1652.8224558974.

The spelling of 4515216864 in words is "four billion, five hundred fifteen million, two hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 2766677 5533354 8300031 11066708 16600062 22133416 33200124 44266832 47033509 66400248 88533664 94067018 132800496 141100527 188134036 265600992 282201054 376268072 564402108 752536144 1128804216 1505072288 2257608432 4515216864