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745364442000 = 24353353351919
BaseRepresentation
bin10101101100010110010…
…11101100101110010000
32122020220201200211020110
422312023023230232100
544203001244121000
61330225442441320
7104564553135633
oct12661313545620
92566821624213
10745364442000
1126811a883382
12100559063240
1355397a1c929
142810c11dc1a
15145c69d3850
hexad8b2ecb90

745364442000 has 160 divisors (see below), whose sum is σ = 2409869329920. Its totient is φ = 198200217600.

The previous prime is 745364441999. The next prime is 745364442001. The reversal of 745364442000 is 244463547.

745364442000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (745364441999) and next prime (745364442001).

It is a self number, because there is not a number n which added to its sum of digits gives 745364442000.

It is not an unprimeable number, because it can be changed into a prime (745364442001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942041 + ... + 2293959.

It is an arithmetic number, because the mean of its divisors is an integer number (15061683312).

Almost surely, 2745364442000 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 745364442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204934664960).

745364442000 is an abundant number, since it is smaller than the sum of its proper divisors (1664504887920).

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

745364442000 is a wasteful number, since it uses less digits than its factorization.

745364442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352298 (or 352282 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

The spelling of 745364442000 in words is "seven hundred forty-five billion, three hundred sixty-four million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 353 375 400 500 600 706 750 1000 1059 1200 1412 1500 1765 2000 2118 2824 3000 3530 4236 5295 5648 6000 7060 8472 8825 10590 14120 16944 17650 21180 26475 28240 35300 42360 44125 52950 70600 84720 88250 105900 132375 141200 176500 211800 264750 351919 353000 423600 529500 703838 706000 1055757 1059000 1407676 1759595 2111514 2118000 2815352 3519190 4223028 5278785 5630704 7038380 8446056 8797975 10557570 14076760 16892112 17595950 21115140 26393925 28153520 35191900 42230280 43989875 52787850 70383800 84460560 87979750 105575700 124227407 131969625 140767600 175959500 211151400 248454814 263939250 351919000 372682221 422302800 496909628 527878500 621137035 703838000 745364442 993819256 1055757000 1242274070 1490728884 1863411105 1987638512 2111514000 2484548140 2981457768 3105685175 3726822210 4969096280 5962915536 6211370350 7453644420 9317055525 9938192560 12422740700 14907288840 15528425875 18634111050 24845481400 29814577680 31056851750 37268222100 46585277625 49690962800 62113703500 74536444200 93170555250 124227407000 149072888400 186341110500 248454814000 372682221000 745364442000