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76270245870 = 23572132307009
BaseRepresentation
bin100011100001000001…
…1111001011111101110
321021212101220221012010
41013002003321133232
52222200140331440
655012120022050
75340022251600
oct1070203713756
9237771827163
1076270245870
112a389624655
1212946901926
1372664c4100
143997691170
151eb5d2b580
hex11c20f97ee

76270245870 has 144 divisors (see below), whose sum is σ = 230574334320. Its totient is φ = 16092131328.

The previous prime is 76270245823. The next prime is 76270245871. The reversal of 76270245870 is 7854207267.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76270245871) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94926 + ... + 401934.

It is an arithmetic number, because the mean of its divisors is an integer number (1601210655).

Almost surely, 276270245870 is an apocalyptic number.

76270245870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76270245870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115287167160).

76270245870 is an abundant number, since it is smaller than the sum of its proper divisors (154304088450).

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

76270245870 is a wasteful number, since it uses less digits than its factorization.

76270245870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307059 (or 307039 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The spelling of 76270245870 in words is "seventy-six billion, two hundred seventy million, two hundred forty-five thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 169 182 195 210 245 273 294 338 390 455 490 507 546 637 735 845 910 1014 1183 1274 1365 1470 1690 1911 2366 2535 2730 3185 3549 3822 5070 5915 6370 7098 8281 9555 11830 16562 17745 19110 24843 35490 41405 49686 82810 124215 248430 307009 614018 921027 1535045 1842054 2149063 3070090 3991117 4298126 4605135 6447189 7982234 9210270 10745315 11973351 12894378 15043441 19955585 21490630 23946702 27937819 30086882 32235945 39911170 45130323 51884521 55875638 59866755 64471890 75217205 83813457 90260646 103769042 119733510 139689095 150434410 155653563 167626914 195564733 225651615 259422605 279378190 311307126 363191647 391129466 419067285 451303230 518845210 586694199 726383294 778267815 838134570 977823665 1089574941 1173388398 1556535630 1815958235 1955647330 2179149882 2542341529 2933470995 3631916470 5084683058 5447874705 5866941990 7627024587 10895749410 12711707645 15254049174 25423415290 38135122935 76270245870