Search a number
-
+
60434302274164 = 22721313721263697
BaseRepresentation
bin11011011110110111101010…
…00111101000101001110100
321220222110111102201221222201
431233123311013220221310
530410123422340233124
6332311045111234244
715505143230362600
oct1557336507505164
9256873442657881
1060434302274164
1118290053129815
1269406a5678984
132794c129b9280
1410cd0704a0500
156ec07cb58144
hex36f6f51e8a74

60434302274164 has 108 divisors (see below), whose sum is σ = 133464834948396. Its totient is φ = 23733545342976.

The previous prime is 60434302274113. The next prime is 60434302274167. The reversal of 60434302274164 is 46147220343406.

It can be written as a sum of positive squares in 6 ways, for example, as 2637512417764 + 57796789856400 = 1624042^2 + 7602420^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60434302274167) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47191564 + ... + 48455260.

Almost surely, 260434302274164 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 60434302274164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66732417474198).

60434302274164 is an abundant number, since it is smaller than the sum of its proper divisors (73030532674232).

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

60434302274164 is a wasteful number, since it uses less digits than its factorization.

60434302274164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264002 (or 1263856 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 46.

The spelling of 60434302274164 in words is "sixty trillion, four hundred thirty-four billion, three hundred two million, two hundred seventy-four thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 137 182 196 274 364 548 637 959 1274 1781 1918 2548 3562 3836 6713 7124 12467 13426 18769 24934 26852 37538 49868 75076 87269 131383 174538 243997 262766 349076 487994 525532 919681 975988 1263697 1707979 1839362 2527394 3415958 3678724 5054788 6831916 8845879 11955853 16428061 17691758 23911706 32856122 35383516 47823412 61921153 65712244 114996427 123842306 173126489 229992854 247684612 346252978 459985708 692505956 804974989 1211885423 1609949978 2250644357 2423770846 3219899956 4501288714 4847541692 8483197961 9002577428 15754510499 16966395922 23718328993 31509020998 33932791844 47436657986 63018041996 94873315972 110281573493 166028302951 220563146986 308338276909 332056605902 441126293972 616676553818 664113211804 1162198120657 1233353107636 2158367938363 2324396241314 4316735876726 4648792482628 8633471753452 15108575568541 30217151137082 60434302274164