Search a number
-
+
626660425120 = 25523246315991
BaseRepresentation
bin10010001111001111101…
…11110011110110100000
32012220112001010222100211
421013213313303312200
540231400032100440
61155514523423504
763163141503652
oct11074767636640
92186461128324
10626660425120
11221846522594
12a154b384b94
134712b1950a2
142248ad706d2
151147a6c7eea
hex91e7df3da0

626660425120 has 144 divisors (see below), whose sum is σ = 1551092481792. Its totient is φ = 239232913920.

The previous prime is 626660425081. The next prime is 626660425121. The reversal of 626660425120 is 21524066626.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (626660425121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39180325 + ... + 39196315.

It is an arithmetic number, because the mean of its divisors is an integer number (10771475568).

Almost surely, 2626660425120 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 626660425120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775546240896).

626660425120 is an abundant number, since it is smaller than the sum of its proper divisors (924432056672).

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

626660425120 is a wasteful number, since it uses less digits than its factorization.

626660425120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16515 (or 16484 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 626660425120 in words is "six hundred twenty-six billion, six hundred sixty million, four hundred twenty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 463 529 736 920 926 1058 1840 1852 2116 2315 2645 3680 3704 4232 4630 5290 7408 8464 9260 10580 10649 14816 15991 16928 18520 21160 21298 31982 37040 42320 42596 53245 63964 74080 79955 84640 85192 106490 127928 159910 170384 212980 244927 255856 319820 340768 367793 425960 489854 511712 639640 735586 851920 979708 1224635 1279280 1471172 1703840 1838965 1959416 2449270 2558560 2942344 3677930 3918832 4898540 5884688 7355860 7403833 7837664 8459239 9797080 11769376 14711720 14807666 16918478 19594160 29423440 29615332 33836956 37019165 39188320 42296195 58846880 59230664 67673912 74038330 84592390 118461328 135347824 148076660 169184780 170288159 236922656 270695648 296153320 338369560 340576318 592306640 676739120 681152636 851440795 1184613280 1353478240 1362305272 1702881590 2724610544 3405763180 3916627657 5449221088 6811526360 7833255314 13623052720 15666510628 19583138285 27246105440 31333021256 39166276570 62666042512 78332553140 125332085024 156665106280 313330212560 626660425120