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60834906444 = 223131375035659
BaseRepresentation
bin111000101010000010…
…110000000101001100
312211000200121110002010
4320222002300011030
51444042214001234
643540331101220
74252355113164
oct705202600514
9184020543063
1060834906444
112388879a694
12b9595a1810
135976712380
142d317075a4
1518b0bc26e9
hexe2a0b014c

60834906444 has 96 divisors (see below), whose sum is σ = 154316413440. Its totient is φ = 18541582848.

The previous prime is 60834906421. The next prime is 60834906467. The reversal of 60834906444 is 44460943806.

It is an interprime number because it is at equal distance from previous prime (60834906421) and next prime (60834906467).

It is a junction number, because it is equal to n+sod(n) for n = 60834906393 and 60834906402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10747287 + ... + 10752945.

It is an arithmetic number, because the mean of its divisors is an integer number (1607462640).

Almost surely, 260834906444 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 60834906444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77158206720).

60834906444 is an abundant number, since it is smaller than the sum of its proper divisors (93481506996).

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

60834906444 is a wasteful number, since it uses less digits than its factorization.

60834906444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6319 (or 6317 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 48.

The spelling of 60834906444 in words is "sixty billion, eight hundred thirty-four million, nine hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 137 156 274 411 503 548 822 1006 1509 1644 1781 2012 3018 3562 5343 5659 6036 6539 7124 10686 11318 13078 16977 19617 21372 22636 26156 33954 39234 67908 68911 73567 78468 137822 147134 206733 220701 275644 294268 413466 441402 775283 826932 882804 895843 1550566 1791686 2325849 2687529 2846477 3101132 3583372 4651698 5375058 5692954 8539431 9303396 10078679 10750116 11385908 17078862 20157358 30236037 34157724 37004201 40314716 60472074 74008402 111012603 120944148 148016804 222025206 389967349 444050412 779934698 1169902047 1559869396 2339804094 4679608188 5069575537 10139151074 15208726611 20278302148 30417453222 60834906444