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7164945564 = 2237611917321
BaseRepresentation
bin1101010110001000…
…00110010010011100
3200111100002221120020
412223010012102130
5104133211224224
63142545352140
7342361014060
oct65304062234
920440087506
107164945564
113047474717
12147b638650
138a253877a
144bd815aa0
152be04bc79
hex1ab10649c

7164945564 has 96 divisors (see below), whose sum is σ = 19524083712. Its totient is φ = 2002752000.

The previous prime is 7164945551. The next prime is 7164945577. The reversal of 7164945564 is 4655494617.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7164945551) and next prime (7164945577).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975024 + ... + 982344.

It is an arithmetic number, because the mean of its divisors is an integer number (203375872).

Almost surely, 27164945564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7164945564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9762041856).

7164945564 is an abundant number, since it is smaller than the sum of its proper divisors (12359138148).

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

7164945564 is a wasteful number, since it uses less digits than its factorization.

7164945564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7587 (or 7585 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 7164945564 is about 84646.0014649245. The cubic root of 7164945564 is about 1927.8399024417.

The spelling of 7164945564 in words is "seven billion, one hundred sixty-four million, nine hundred forty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 191 244 366 382 427 573 732 764 854 1146 1281 1337 1708 2292 2562 2674 4011 5124 5348 7321 8022 11651 14642 16044 21963 23302 29284 34953 43926 46604 51247 69906 81557 87852 102494 139812 153741 163114 204988 244671 307482 326228 446581 489342 614964 893162 978684 1339743 1398311 1786324 2679486 2796622 3126067 4194933 5358972 5593244 6252134 8389866 9378201 9788177 12504268 16779732 18756402 19576354 29364531 37512804 39152708 58729062 85296971 117458124 170593942 255890913 341187884 511781826 597078797 1023563652 1194157594 1791236391 2388315188 3582472782 7164945564