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102024053632 = 274153596217
BaseRepresentation
bin101111100000100011…
…0111000001110000000
3100202100020020220212001
41133001012320032000
53132421124204012
6114511425313344
710241152101334
oct1370106701600
9322306226761
10102024053632
113a2a4a115a6
1217933795854
13980bc59307
144d1bbbb7c4
1529c1c9e357
hex17c11b8380

102024053632 has 128 divisors (see below), whose sum is σ = 215767087200. Its totient is φ = 47993487360.

The previous prime is 102024053617. The next prime is 102024053653. The reversal of 102024053632 is 236350420201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 102024053632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16407388 + ... + 16413604.

Almost surely, 2102024053632 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 102024053632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107883543600).

102024053632 is an abundant number, since it is smaller than the sum of its proper divisors (113743033568).

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

102024053632 is an equidigital number, since it uses as much as digits as its factorization.

102024053632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6384 (or 6372 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 102024053632 its reverse (236350420201), we get a palindrome (338374473833).

The spelling of 102024053632 in words is "one hundred two billion, twenty-four million, fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 53 59 64 82 106 118 128 164 212 236 328 424 472 656 848 944 1312 1696 1888 2173 2419 2624 3127 3392 3776 4346 4838 5248 6217 6254 6784 7552 8692 9676 12434 12508 17384 19352 24868 25016 34768 38704 49736 50032 69536 77408 99472 100064 128207 139072 154816 198944 200128 254897 256414 278144 309632 329501 366803 397888 400256 509794 512828 659002 733606 795776 1019588 1025656 1318004 1467212 2039176 2051312 2636008 2934424 4078352 4102624 5272016 5868848 8156704 8205248 10544032 11737696 13509541 15038923 16313408 16410496 19440559 21088064 23475392 27019082 30077846 32626816 38881118 42176128 46950784 54038164 60155692 77762236 108076328 120311384 155524472 216152656 240622768 311048944 432305312 481245536 622097888 797062919 864610624 962491072 1244195776 1594125838 1729221248 1924982144 2488391552 3188251676 6376503352 12753006704 25506013408 51012026816 102024053632