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145198763970 = 235132919964513
BaseRepresentation
bin1000011100111010000…
…1010100111111000010
3111212210011002110012220
42013032201110333002
54334331340421340
6150411533231510
713330106062401
oct2071641247702
9455704073186
10145198763970
115663aa0a497
1224182932596
13108cc9643b0
147055c6d638
153b9c33aed0
hex21ce854fc2

145198763970 has 128 divisors (see below), whose sum is σ = 390180672000. Its totient is φ = 34334834688.

The previous prime is 145198763959. The next prime is 145198764019. The reversal of 145198763970 is 79367891541.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2218434 + ... + 2282946.

It is an arithmetic number, because the mean of its divisors is an integer number (3048286500).

Almost surely, 2145198763970 is an apocalyptic number.

145198763970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145198763970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195090336000).

145198763970 is an abundant number, since it is smaller than the sum of its proper divisors (244981908030).

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

145198763970 is a wasteful number, since it uses less digits than its factorization.

145198763970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64764.

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 145198763970 in words is "one hundred forty-five billion, one hundred ninety-eight million, seven hundred sixty-three thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 29 30 39 58 65 78 87 130 145 174 195 199 290 377 390 398 435 597 754 870 995 1131 1194 1885 1990 2262 2587 2985 3770 5174 5655 5771 5970 7761 11310 11542 12935 15522 17313 25870 28855 34626 38805 57710 64513 75023 77610 86565 129026 150046 173130 193539 225069 322565 375115 387078 450138 645130 750230 838669 967695 1125345 1677338 1870877 1935390 2250690 2516007 3741754 4193345 5032014 5612631 8386690 9354385 11225262 12580035 12838087 18708770 24321401 25160070 25676174 28063155 38514261 48642802 56126310 64190435 72964203 77028522 121607005 128380870 145928406 166895131 192571305 243214010 333790262 364821015 372304523 385142610 500685393 729642030 744609046 834475655 1001370786 1116913569 1668951310 1861522615 2233827138 2503426965 3723045230 4839958799 5006853930 5584567845 9679917598 11169135690 14519876397 24199793995 29039752794 48399587990 72599381985 145198763970