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7628958012 = 22313175354277
BaseRepresentation
bin1110001101011100…
…01010100100111100
3201200200020012222110
413012232022210330
5111111003124022
63301003014020
7360024034044
oct70656124474
921620205873
107628958012
113265391085
12158ab0a310
13947700450
145252c0724
152e9b5700c
hex1c6b8a93c

7628958012 has 96 divisors (see below), whose sum is σ = 20681220672. Its totient is φ = 2167566336.

The previous prime is 7628957977. The next prime is 7628958017. The reversal of 7628958012 is 2108598267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7628958017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113418 + ... + 167694.

It is an arithmetic number, because the mean of its divisors is an integer number (215429382).

Almost surely, 27628958012 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 7628958012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340610336).

7628958012 is an abundant number, since it is smaller than the sum of its proper divisors (13052262660).

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

7628958012 is a wasteful number, since it uses less digits than its factorization.

7628958012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54367 (or 54365 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 7628958012 is about 87343.9065533481. The cubic root of 7628958012 is about 1968.5890944575.

The spelling of 7628958012 in words is "seven billion, six hundred twenty-eight million, nine hundred fifty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 53 68 78 102 106 156 159 204 212 221 318 442 636 663 689 884 901 1326 1378 1802 2067 2652 2703 2756 3604 4134 5406 8268 10812 11713 23426 35139 46852 54277 70278 108554 140556 162831 217108 325662 651324 705601 922709 1411202 1845418 2116803 2768127 2822404 2876681 3690836 4233606 5536254 5753362 8467212 8630043 11072508 11506724 11995217 17260086 23990434 34520172 35985651 37396853 47980868 48903577 71971302 74793706 97807154 112190559 143942604 146710731 149587412 195614308 224381118 293421462 448762236 586842924 635746501 1271493002 1907239503 2542986004 3814479006 7628958012