Search a number
-
+
145556070352352 = 251112713829235447
BaseRepresentation
bin100001000110000111101001…
…110111100100010111100000
3201002101000122210211101211122
4201012013221313210113200
5123034242313002233402
61233323311405031412
742442036054043612
oct4106075167442740
9632330583741748
10145556070352352
1142418a8a090880
12143a98a9555568
13632ab561c11ca
1427d2d468aadb2
1511c63aa0b8ca2
hex8461e9de45e0

145556070352352 has 96 divisors (see below), whose sum is σ = 315100397445120. Its totient is φ = 65635865326080.

The previous prime is 145556070352349. The next prime is 145556070352409. The reversal of 145556070352352 is 253253070655541.

It is a junction number, because it is equal to n+sod(n) for n = 145556070352294 and 145556070352303.

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, 618093893 + ... + 618329339.

It is an arithmetic number, because the mean of its divisors is an integer number (3282295806720).

Almost surely, 2145556070352352 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 145556070352352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157550198722560).

145556070352352 is an abundant number, since it is smaller than the sum of its proper divisors (169544327092768).

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

145556070352352 is a wasteful number, since it uses less digits than its factorization.

145556070352352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249424 (or 249416 counting only the distinct ones).

The product of its (nonzero) digits is 18900000, while the sum is 53.

The spelling of 145556070352352 in words is "one hundred forty-five trillion, five hundred fifty-six billion, seventy million, three hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 127 176 254 352 508 1016 1397 2032 2794 4064 5588 11176 13829 22352 27658 44704 55316 110632 152119 221264 235447 304238 442528 470894 608476 941788 1216952 1756283 1883576 2433904 2589917 3512566 3767152 4867808 5179834 7025132 7534304 10359668 14050264 19319113 20719336 28100528 29901769 38638226 41438672 56201056 59803538 77276452 82877344 119607076 154552904 239214152 309105808 328919459 478428304 618211616 657838918 956856608 1315677836 2631355672 3255996563 5262711344 6511993126 10525422688 13023986252 26047972504 35815962193 52095945008 71631924386 104191890016 143263848772 286527697544 413511563501 573055395088 827023127002 1146110790176 1654046254004 3308092508008 4548627198511 6616185016016 9097254397022 13232370032032 18194508794044 36389017588088 72778035176176 145556070352352