Search a number
-
+
7028640864 = 25357129127
BaseRepresentation
bin1101000101111000…
…01000110001100000
3200010211121221200000
412202330020301200
5103343313001424
63121240100000
7336114314220
oct64274106140
920124557600
107028640864
112a87536a03
121441a64600
138802233bb
144a9694080
152b20c53c9
hex1a2f08c60

7028640864 has 144 divisors (see below), whose sum is σ = 23689306368. Its totient is φ = 2008167552.

The previous prime is 7028640859. The next prime is 7028640893. The reversal of 7028640864 is 4680468207.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10132 + ... + 118995.

It is an arithmetic number, because the mean of its divisors is an integer number (164509072).

Almost surely, 27028640864 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 7028640864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11844653184).

7028640864 is an abundant number, since it is smaller than the sum of its proper divisors (16660665504).

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

7028640864 is a wasteful number, since it uses less digits than its factorization.

7028640864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129159 (or 129139 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7028640864 is about 83836.9898314580. The cubic root of 7028640864 is about 1915.5365850859.

The spelling of 7028640864 in words is "seven billion, twenty-eight million, six hundred forty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 129127 258254 387381 516508 774762 903889 1033016 1162143 1549524 1807778 2066032 2324286 2711667 3099048 3486429 3615556 4132064 4648572 5423334 6198096 6972858 7231112 8135001 9297144 10459287 10846668 12396192 13945716 14462224 16270002 18594288 20918574 21693336 24405003 27891432 28924448 31377861 32540004 37188576 41837148 43386672 48810006 55782864 62755722 65080008 73215009 83674296 86773344 97620012 111565728 125511444 130160016 146430018 167348592 195240024 219645027 251022888 260320032 292860036 334697184 390480048 439290054 502045776 585720072 780960096 878580108 1004091552 1171440144 1757160216 2342880288 3514320432 7028640864