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7057770016 = 2511531492539
BaseRepresentation
bin1101001001010110…
…10000011000100000
3200012212102212100111
412210223100120200
5103423242120031
63124200301104
7336620024653
oct64453203040
920185385314
107057770016
112aa1a22090
12144b771794
13886281b9b
144ad4b789a
152b492b1b1
hex1a4ad0620

7057770016 has 96 divisors (see below), whose sum is σ = 15553944000. Its totient is φ = 3125191680.

The previous prime is 7057769989. The next prime is 7057770037. The reversal of 7057770016 is 6100777507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2778475 + ... + 2781013.

It is an arithmetic number, because the mean of its divisors is an integer number (162020250).

Almost surely, 27057770016 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 7057770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776972000).

7057770016 is an abundant number, since it is smaller than the sum of its proper divisors (8496173984).

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

7057770016 is a wasteful number, since it uses less digits than its factorization.

7057770016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2754 counting only the distinct ones).

The product of its (nonzero) digits is 72030, while the sum is 40.

The square root of 7057770016 is about 84010.5351488728. The cubic root of 7057770016 is about 1918.1791562607.

The spelling of 7057770016 in words is "seven billion, fifty-seven million, seven hundred seventy thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 53 88 106 149 176 212 298 352 424 583 596 848 1166 1192 1639 1696 2332 2384 2539 3278 4664 4768 5078 6556 7897 9328 10156 13112 15794 18656 20312 26224 27929 31588 40624 52448 55858 63176 81248 86867 111716 126352 134567 173734 223432 252704 269134 347468 378311 446864 538268 694936 756622 893728 1076536 1389872 1480237 1513244 2153072 2779744 2960474 3026488 4161421 4306144 5920948 6052976 8322842 11841896 12105952 16645684 20050483 23683792 33291368 40100966 47367584 66582736 80201932 133165472 160403864 220555313 320807728 441110626 641615456 882221252 1764442504 3528885008 7057770016