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628790319369 = 364326832
BaseRepresentation
bin10010010011001101101…
…00101101100100001001
32020010000110220211000000
421021212310231210021
540300230310204434
61200510130433213
763300003346122
oct11114664554411
92203013824000
10628790319369
11222739819673
12a1a44732809
13473aa51ba44
142260db9d049
1511552697b99
hex9266d2d909

628790319369 has 63 divisors (see below), whose sum is σ = 966603828477. Its totient is φ = 408845379096.

The previous prime is 628790319361. The next prime is 628790319401. The reversal of 628790319369 is 963913097826.

The square root of 628790319369 is 792963.

It is a perfect power (a square), and thus also a powerful number.

628790319369 is a `hidden beast` number, since 6 + 287 + 9 + 0 + 319 + 36 + 9 = 666.

It is not a de Polignac number, because 628790319369 - 23 = 628790319361 is a prime.

It is a super-2 number, since 2×6287903193692 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (628790319361) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 920629702 + ... + 920630384.

Almost surely, 2628790319369 is an apocalyptic number.

628790319369 is the 792963-rd square number.

628790319369 is the 396482-nd centered octagonal number.

It is an amenable number.

628790319369 is a deficient number, since it is larger than the sum of its proper divisors (337813509108).

628790319369 is an frugal number, since it uses more digits than its factorization.

628790319369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 628790319369 in words is "six hundred twenty-eight billion, seven hundred ninety million, three hundred nineteen thousand, three hundred sixty-nine".

Divisors: 1 3 9 27 43 81 129 243 387 683 729 1161 1849 2049 3483 5547 6147 10449 16641 18441 29369 31347 49923 55323 88107 149769 165969 264321 449307 466489 497907 792963 1262867 1347921 1399467 2378889 3788601 4198401 7136667 11365803 12595203 20059027 21410001 34097409 37785609 60177081 102292227 113356827 180531243 306876681 340070481 541593729 862538161 920630043 1624781187 2587614483 4874343561 7762843449 14623030683 23288530347 69865591041 209596773123 628790319369