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7629692980 = 2257213598877
BaseRepresentation
bin1110001101100001…
…11110000000110100
3201200201121120011111
413012300332000310
5111111200133410
63301030444404
7360033214600
oct70660760064
921621546144
107629692980
113265843298
12158b203704
139478c9b40
14525432500
152e9c4eb8a
hex1c6c3e034

7629692980 has 72 divisors (see below), whose sum is σ = 20071995048. Its totient is φ = 2414668032.

The previous prime is 7629692977. The next prime is 7629692989. The reversal of 7629692980 is 892969267.

It can be written as a sum of positive squares in 4 ways, for example, as 257409936 + 7372283044 = 16044^2 + 85862^2 .

It is a super-2 number, since 2×76296929802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7629692989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286699 + ... + 312178.

It is an arithmetic number, because the mean of its divisors is an integer number (278777709).

Almost surely, 27629692980 is an apocalyptic number.

7629692980 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7629692980 is an abundant number, since it is smaller than the sum of its proper divisors (12442302068).

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

7629692980 is a wasteful number, since it uses less digits than its factorization.

7629692980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598913 (or 598904 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 58.

The square root of 7629692980 is about 87348.1137747118. The cubic root of 7629692980 is about 1968.6523098852.

The spelling of 7629692980 in words is "seven billion, six hundred twenty-nine million, six hundred ninety-two thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 91 98 130 140 182 196 245 260 364 455 490 637 910 980 1274 1820 2548 3185 6370 12740 598877 1197754 2395508 2994385 4192139 5988770 7785401 8384278 11977540 15570802 16768556 20960695 29344973 31141604 38927005 41921390 54497807 58689946 77854010 83842780 108995614 117379892 146724865 155708020 217991228 272489035 293449730 381484649 544978070 586899460 762969298 1089956140 1525938596 1907423245 3814846490 7629692980