Search a number
-
+
159536721140 = 225234114335903
BaseRepresentation
bin1001010010010100100…
…0010010110011110100
3120020210101111010212122
42110211020102303310
510103212400034030
6201142401335112
714345316516656
oct2244510226364
9506711433778
10159536721140
1161728357975
1226b04637498
13120762a0b14
147a1619a6d6
15423ae798e5
hex2525212cf4

159536721140 has 96 divisors (see below), whose sum is σ = 358430800896. Its totient is φ = 59499714560.

The previous prime is 159536721131. The next prime is 159536721143. The reversal of 159536721140 is 41127635951.

It is a junction number, because it is equal to n+sod(n) for n = 159536721091 and 159536721100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159536721143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27023429 + ... + 27029331.

It is an arithmetic number, because the mean of its divisors is an integer number (3733654176).

Almost surely, 2159536721140 is an apocalyptic number.

159536721140 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 159536721140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179215400448).

159536721140 is an abundant number, since it is smaller than the sum of its proper divisors (198894079756).

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

159536721140 is a wasteful number, since it uses less digits than its factorization.

159536721140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 159536721140 in words is "one hundred fifty-nine billion, five hundred thirty-six million, seven hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 41 46 82 92 115 164 205 230 410 460 820 943 1433 1886 2866 3772 4715 5732 5903 7165 9430 11806 14330 18860 23612 28660 29515 32959 58753 59030 65918 117506 118060 131836 135769 164795 235012 242023 271538 293765 329590 484046 543076 587530 659180 678845 968092 1175060 1210115 1351319 1357690 2420230 2702638 2715380 4840460 5405276 5566529 6756595 8458999 11133058 13513190 16917998 22266116 27026380 27832645 33835996 42294995 55665290 84589990 111330580 169179980 194556977 346818959 389113954 693637918 778227908 972784885 1387275836 1734094795 1945569770 3468189590 3891139540 6936379180 7976836057 15953672114 31907344228 39884180285 79768360570 159536721140