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17930328355072 = 28737317853079
BaseRepresentation
bin1000001001110101110101…
…10110100011000100000000
32100111010022102010101022001
410010322322312203010000
54322232303024330242
6102045025031553344
73530265152221360
oct404727266430400
970433272111261
1017930328355072
115793233a06211
12201702682b854
13a00a90650183
1445db9262a9a0
15211620507eb7
hex104ebada3100

17930328355072 has 144 divisors (see below), whose sum is σ = 42141633327360. Its totient is φ = 7453144571904.

The previous prime is 17930328355067. The next prime is 17930328355081. The reversal of 17930328355072 is 27055382303971.

It is a happy 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, 20591829 + ... + 21444907.

It is an arithmetic number, because the mean of its divisors is an integer number (292650231440).

Almost surely, 217930328355072 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 17930328355072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070816663680).

17930328355072 is an abundant number, since it is smaller than the sum of its proper divisors (24211304972288).

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

17930328355072 is an equidigital number, since it uses as much as digits as its factorization.

17930328355072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853456 (or 853442 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 55.

The spelling of 17930328355072 in words is "seventeen trillion, nine hundred thirty billion, three hundred twenty-eight million, three hundred fifty-five thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 317 448 518 592 634 896 1036 1184 1268 1792 2072 2219 2368 2536 4144 4438 4736 5072 8288 8876 9472 10144 11729 16576 17752 20288 23458 33152 35504 40576 46916 66304 71008 81152 82103 93832 142016 164206 187664 284032 328412 375328 568064 656824 750656 853079 1313648 1501312 1706158 2627296 3002624 3412316 5254592 5971553 6824632 10509184 11943106 13649264 21018368 23886212 27298528 31563923 47772424 54597056 63127846 95544848 109194112 126255692 191089696 218388224 220947461 252511384 270426043 382179392 441894922 505022768 540852086 764358784 883789844 1010045536 1081704172 1528717568 1767579688 1892982301 2020091072 2163408344 3535159376 3785964602 4040182144 4326816688 7070318752 7571929204 8080364288 8653633376 10005763591 14140637504 15143858408 17307266752 20011527182 28281275008 30287716816 34614533504 40023054364 56562550016 60575433632 69229067008 70040345137 80046108728 121150867264 140080690274 160092217456 242301734528 280161380548 320184434912 484603469056 560322761096 640368869824 1120645522192 1280737739648 2241291044384 2561475479296 4482582088768 8965164177536 17930328355072