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61301160234 = 23317121355051
BaseRepresentation
bin111001000101110101…
…010111100100101010
312212020011221121001000
4321011311113210222
52001021044111414
644054504335430
74300046156526
oct710565274452
9185204847030
1061301160234
1123aa79a7aa6
12ba69774576
135a1c1b02a2
142d775d6d86
1518dbac1b09
hexe45d5792a

61301160234 has 64 divisors (see below), whose sum is σ = 144359556480. Its totient is φ = 19215532800.

The previous prime is 61301160223. The next prime is 61301160259. The reversal of 61301160234 is 43206110316.

61301160234 is a `hidden beast` number, since 6 + 13 + 0 + 11 + 602 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 61301160198 and 61301160207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086009 + ... + 1141059.

It is an arithmetic number, because the mean of its divisors is an integer number (2255618070).

Almost surely, 261301160234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61301160234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72179778240).

61301160234 is an abundant number, since it is smaller than the sum of its proper divisors (83058396246).

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

61301160234 is a wasteful number, since it uses less digits than its factorization.

61301160234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56292 (or 56286 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 61301160234 in words is "sixty-one billion, three hundred one million, one hundred sixty thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 1213 2426 3639 7278 10917 20621 21834 32751 41242 55051 61863 65502 110102 123726 165153 185589 330306 371178 495459 556767 935867 990918 1113534 1486377 1871734 2807601 2972754 5615202 8422803 16845606 25268409 50536818 66776863 133553726 200330589 400661178 600991767 1135206671 1201983534 1802975301 2270413342 3405620013 3605950602 6811240026 10216860039 20433720078 30650580117 61301160234