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7117294492 = 22721129671699
BaseRepresentation
bin1101010000011100…
…10100101110011100
3200101000110000120201
412220032110232130
5104034011410432
63134124153244
7341242001500
oct65016245634
920330400521
107117294492
113022588770
121467698824
138956c3579
144b7370300
152b9c87ee7
hex1a8394b9c

7117294492 has 144 divisors (see below), whose sum is σ = 16604784000. Its totient is φ = 2635839360.

The previous prime is 7117294453. The next prime is 7117294577. The reversal of 7117294492 is 2944927117.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4188259 + ... + 4189957.

It is an arithmetic number, because the mean of its divisors is an integer number (115311000).

Almost surely, 27117294492 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 7117294492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8302392000).

7117294492 is an abundant number, since it is smaller than the sum of its proper divisors (9487489508).

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

7117294492 is a wasteful number, since it uses less digits than its factorization.

7117294492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1815 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 7117294492 is about 84364.0592432583. The cubic root of 7117294492 is about 1923.5566392539.

The spelling of 7117294492 in words is "seven billion, one hundred seventeen million, two hundred ninety-four thousand, four hundred ninety-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 67 77 98 116 134 154 196 203 268 308 319 406 469 539 638 737 812 938 1078 1276 1421 1474 1699 1876 1943 2156 2233 2842 2948 3283 3398 3886 4466 5159 5684 6566 6796 7772 8932 10318 11893 13132 13601 15631 18689 20636 21373 23786 27202 31262 36113 37378 42746 47572 49271 54404 62524 72226 74756 83251 85492 95207 98542 113833 130823 144452 149611 166502 190414 197084 227666 261646 299222 333004 344897 380828 455332 523292 541981 598444 689794 796831 915761 1047277 1083962 1252163 1379588 1593662 1831522 2094554 2167924 2414279 2504326 3187324 3301157 3663044 3793867 4189108 4828558 5008652 5577817 6602314 7587734 8765141 9657116 11155634 13204628 15175468 17530282 22311268 23108099 26557069 35060564 36312727 46216198 53114138 61355987 72625454 92432396 106228276 122711974 145250908 161756693 245423948 254189089 323513386 508378178 647026772 1016756356 1779323623 3558647246 7117294492