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6011061042 = 23717181193241
BaseRepresentation
bin1011001100100100…
…11000001100110010
3120111220212112120110
411212102120030302
544302312423132
62432245522150
7301650114210
oct54622301462
916456775513
106011061042
1126050a6148
1211b9113356
1374a46c56c
1441048bcb0
15252ac01cc
hex166498332

6011061042 has 128 divisors (see below), whose sum is σ = 14764958208. Its totient is φ = 1592524800.

The previous prime is 6011061029. The next prime is 6011061047. The reversal of 6011061042 is 2401601106.

It is a super-2 number, since 2×60110610422 = 72265709701300251528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (6011061047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24942042 + ... + 24942282.

It is an arithmetic number, because the mean of its divisors is an integer number (115351236).

Almost surely, 26011061042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6011061042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7382479104).

6011061042 is an abundant number, since it is smaller than the sum of its proper divisors (8753897166).

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

6011061042 is a wasteful number, since it uses less digits than its factorization.

6011061042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 6011061042 is about 77531.0327675312. The cubic root of 6011061042 is about 1818.2365322097.

Adding to 6011061042 its reverse (2401601106), we get a palindrome (8412662148).

The spelling of 6011061042 in words is "six billion, eleven million, sixty-one thousand, forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 181 193 238 241 357 362 386 482 543 579 714 723 1086 1158 1267 1351 1446 1687 2534 2702 3077 3281 3374 3801 4053 4097 5061 6154 6562 7602 8106 8194 9231 9843 10122 12291 18462 19686 21539 22967 24582 28679 34933 43078 43621 45934 46513 57358 64617 68901 69866 86037 87242 93026 104799 129234 130863 137802 139539 172074 209598 244531 261726 279078 305347 325591 489062 593861 610694 651182 733593 741557 790721 916041 976773 1187722 1467186 1483114 1581442 1781583 1832082 1953546 2224671 2372163 3563166 4157027 4449342 4744326 5190899 5535047 8314054 8418853 10381798 11070094 12471081 15572697 16605141 16837706 24942162 25256559 31145394 33210282 50513118 58931971 117863942 143120501 176795913 286241002 353591826 429361503 858723006 1001843507 2003687014 3005530521 6011061042