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75212675328 = 283716385831
BaseRepresentation
bin100011000001100000…
…1100101100100000000
321012010200220210010210
41012003001211210000
52213013421102303
654315140354120
75301561122550
oct1060301454400
9235120823123
1075212675328
112999665a20a
12126b06a5940
13712837aa1b
1438d7039160
151e53077203
hex1183065900

75212675328 has 144 divisors (see below), whose sum is σ = 230178077696. Its totient is φ = 21357250560.

The previous prime is 75212675327. The next prime is 75212675339. The reversal of 75212675328 is 82357621257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75212675327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 833373 + ... + 919203.

Almost surely, 275212675328 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 75212675328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115089038848).

75212675328 is an abundant number, since it is smaller than the sum of its proper divisors (154965402368).

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

75212675328 is a wasteful number, since it uses less digits than its factorization.

75212675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86020 (or 86006 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 48.

The spelling of 75212675328 in words is "seventy-five billion, two hundred twelve million, six hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 652 672 768 896 978 1141 1304 1344 1792 1956 2282 2608 2688 3423 3912 4564 5216 5376 6846 7824 9128 10432 13692 15648 18256 20864 27384 31296 36512 41728 54768 62592 73024 85831 109536 125184 146048 171662 219072 257493 292096 343324 438144 514986 600817 686648 876288 1029972 1201634 1373296 1802451 2059944 2403268 2746592 3604902 4119888 4806536 5493184 7209804 8239776 9613072 10986368 13990453 14419608 16479552 19226144 21972736 27980906 28839216 32959104 38452288 41971359 55961812 57678432 65918208 76904576 83942718 97933171 111923624 115356864 153809152 167885436 195866342 223847248 230713728 293799513 335770872 391732684 447694496 461427456 587599026 671541744 783465368 895388992 1175198052 1343083488 1566930736 1790777984 2350396104 2686166976 3133861472 3581555968 4700792208 5372333952 6267722944 9401584416 10744667904 12535445888 18803168832 25070891776 37606337664 75212675328