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7664128344 = 23321923512383
BaseRepresentation
bin1110010001101000…
…10101000101011000
3201210010102001121100
413020310111011120
5111144004101334
63304300511400
7360632005335
oct71064250530
921703361540
107664128344
113283223074
12159a84b560
13951a958b2
14529c3798c
152ecca2c99
hex1c8d15158

7664128344 has 96 divisors (see below), whose sum is σ = 21867955200. Its totient is φ = 2418206400.

The previous prime is 7664128321. The next prime is 7664128369. The reversal of 7664128344 is 4438214667.

It is a self number, because there is not a number n which added to its sum of digits gives 7664128344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3214977 + ... + 3217359.

It is an arithmetic number, because the mean of its divisors is an integer number (227791200).

Almost surely, 27664128344 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 7664128344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10933977600).

7664128344 is an abundant number, since it is smaller than the sum of its proper divisors (14203826856).

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

7664128344 is a wasteful number, since it uses less digits than its factorization.

7664128344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4758 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 7664128344 is about 87545.0075332683. The cubic root of 7664128344 is about 1971.6095947015.

The spelling of 7664128344 in words is "seven billion, six hundred sixty-four million, one hundred twenty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 2351 2383 4702 4766 7053 7149 9404 9532 14106 14298 18808 19064 21159 21447 28212 28596 42318 42894 44669 45277 56424 57192 84636 85788 89338 90554 134007 135831 169272 171576 178676 181108 268014 271662 357352 362216 402021 407493 536028 543324 804042 814986 1072056 1086648 1608084 1629972 3216168 3259944 5602433 11204866 16807299 22409732 33614598 44819464 50421897 67229196 100843794 106446227 134458392 201687588 212892454 319338681 403375176 425784908 638677362 851569816 958016043 1277354724 1916032086 2554709448 3832064172 7664128344