Search a number
-
+
1345610545520 = 24579227937943
BaseRepresentation
bin10011100101001100101…
…000110111100101110000
311202122020220122020021212
4103211030220313211300
5134021302244424040
62510055343535252
7166134324626633
oct23451450674560
94678226566255
101345610545520
1147974108910a
121989562ba528
1399b76657107
14491b0d47c1a
1525008265d65
hex1394ca37970

1345610545520 has 80 divisors (see below), whose sum is σ = 3182106332160. Its totient is φ = 529089330432.

The previous prime is 1345610545493. The next prime is 1345610545549. The reversal of 1345610545520 is 255450165431.

It is a tau number, because it is divible by the number of its divisors (80).

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, 965669 + ... + 1903611.

It is an arithmetic number, because the mean of its divisors is an integer number (39776329152).

Almost surely, 21345610545520 is an apocalyptic number.

1345610545520 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 1345610545520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591053166080).

1345610545520 is an abundant number, since it is smaller than the sum of its proper divisors (1836495786640).

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

1345610545520 is a wasteful number, since it uses less digits than its factorization.

1345610545520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938262 (or 938256 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 1345610545520 in words is "one trillion, three hundred forty-five billion, six hundred ten million, five hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 227 316 395 454 632 790 908 1135 1264 1580 1816 2270 3160 3632 4540 6320 9080 17933 18160 35866 71732 89665 143464 179330 286928 358660 717320 937943 1434640 1875886 3751772 4689715 7503544 9379430 15007088 18758860 37517720 74097497 75035440 148194994 212913061 296389988 370487485 425826122 592779976 740974970 851652244 1064565305 1185559952 1481949940 1703304488 2129130610 2963899880 3406608976 4258261220 5927799760 8516522440 16820131819 17033044880 33640263638 67280527276 84100659095 134561054552 168201318190 269122109104 336402636380 672805272760 1345610545520