Search a number
-
+
61028106858 = 2341374635939
BaseRepresentation
bin111000110101100011…
…110000001001101010
312211112011011001020000
4320311203300021222
51444441143404413
644011432043430
74260222230535
oct706543601152
9184464131200
1061028106858
1123977858a54
12b9b2233576
1359a7758744
142d4d239a1c
1518c2b37073
hexe358f026a

61028106858 has 80 divisors (see below), whose sum is σ = 138067079040. Its totient is φ = 20147206464.

The previous prime is 61028106823. The next prime is 61028106859. The reversal of 61028106858 is 85860182016.

61028106858 is a `hidden beast` number, since 610 + 28 + 1 + 0 + 6 + 8 + 5 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (61028106859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10272853 + ... + 10278791.

It is an arithmetic number, because the mean of its divisors is an integer number (1725838488).

Almost surely, 261028106858 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61028106858, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69033539520).

61028106858 is an abundant number, since it is smaller than the sum of its proper divisors (77038972182).

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

61028106858 is a wasteful number, since it uses less digits than its factorization.

61028106858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6553 (or 6544 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 61028106858 in words is "sixty-one billion, twenty-eight million, one hundred six thousand, eight hundred fifty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 274 411 463 822 926 1233 1389 2466 2778 3699 4167 5939 7398 8334 11097 11878 12501 17817 22194 25002 35634 37503 53451 63431 75006 106902 126862 160353 190293 320706 380586 481059 570879 813643 962118 1141758 1627286 1712637 2440929 2749757 3425274 4881858 5137911 5499514 7322787 8249271 10275822 14645574 16498542 21968361 24747813 43936722 49495626 65905083 74243439 131810166 148486878 222730317 376716709 445460634 753433418 1130150127 2260300254 3390450381 6780900762 10171351143 20342702286 30514053429 61028106858