Search a number
-
+
60340540736 = 2673112734211
BaseRepresentation
bin111000001100100100…
…111001010101000000
312202202020101001211002
4320030210321111000
51442034134300421
643415311111132
74234203063560
oct701444712500
9182666331732
1060340540736
1123654731393
12b83bb124a8
1358c8180998
142cc5bbada0
1518825bdb0b
hexe0c939540

60340540736 has 112 divisors (see below), whose sum is σ = 142374469632. Its totient is φ = 24828249600.

The previous prime is 60340540721. The next prime is 60340540783. The reversal of 60340540736 is 63704504306.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 60340540736.

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, 1746671 + ... + 1780881.

Almost surely, 260340540736 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 60340540736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71187234816).

60340540736 is an abundant number, since it is smaller than the sum of its proper divisors (82033928896).

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

60340540736 is a wasteful number, since it uses less digits than its factorization.

60340540736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34388 (or 34378 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 38.

The spelling of 60340540736 in words is "sixty billion, three hundred forty million, five hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 127 217 224 248 254 434 448 496 508 868 889 992 1016 1736 1778 1984 2032 3472 3556 3937 4064 6944 7112 7874 8128 13888 14224 15748 27559 28448 31496 34211 55118 56896 62992 68422 110236 125984 136844 220472 239477 251968 273688 440944 478954 547376 881888 957908 1060541 1094752 1763776 1915816 2121082 2189504 3831632 4242164 4344797 7423787 7663264 8484328 8689594 14847574 15326528 16968656 17379188 29695148 30413579 33937312 34758376 59390296 60827158 67874624 69516752 118780592 121654316 134688707 139033504 237561184 243308632 269377414 278067008 475122368 486617264 538754828 942820949 973234528 1077509656 1885641898 1946469056 2155019312 3771283796 4310038624 7542567592 8620077248 15085135184 30170270368 60340540736