Search a number
-
+
1453954605860 = 225414761361543
BaseRepresentation
bin10101001010000110011…
…100101010001100100100
312010222220121002202111102
4111022012130222030210
5142310144334341420
63031534301055232
7210021231143651
oct25120634521444
95128817082442
101453954605860
1151068951a249
121b5952557518
13a7151a63463
145052c234c28
1527c49caea75
hex1528672a324

1453954605860 has 96 divisors (see below), whose sum is σ = 3199586890752. Its totient is φ = 554409722880.

The previous prime is 1453954605811. The next prime is 1453954605931. The reversal of 1453954605860 is 685064593541.

It is a super-2 number, since 2×14539546058602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1453954605796 and 1453954605805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23594249 + ... + 23655791.

It is an arithmetic number, because the mean of its divisors is an integer number (33329030112).

Almost surely, 21453954605860 is an apocalyptic number.

1453954605860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1453954605860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1599793445376).

1453954605860 is an abundant number, since it is smaller than the sum of its proper divisors (1745632284892).

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

1453954605860 is a wasteful number, since it uses less digits than its factorization.

1453954605860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62253 (or 62251 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 56.

The spelling of 1453954605860 in words is "one trillion, four hundred fifty-three billion, nine hundred fifty-four million, six hundred five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 41 47 82 94 164 188 205 235 410 470 613 820 940 1226 1927 2452 3065 3854 6130 7708 9635 12260 19270 25133 28811 38540 50266 57622 61543 100532 115244 123086 125665 144055 246172 251330 288110 307715 502660 576220 615430 1181251 1230860 2362502 2523263 2892521 4725004 5046526 5785042 5906255 10093052 11570084 11812510 12616315 14462605 23625020 25232630 28925210 37725859 50465260 57850420 75451718 118593361 150903436 188629295 237186722 377258590 474373444 592966805 754517180 1185933610 1546760219 1773115373 2371867220 3093520438 3546230746 6187040876 7092461492 7733801095 8865576865 15467602190 17731153730 30935204380 35462307460 72697730293 145395460586 290790921172 363488651465 726977302930 1453954605860