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30471036435616 = 257191859829111
BaseRepresentation
bin1101110110110100101110…
…10011010111110010100000
310222220000001220211221201211
412323122113103113302200
512443214140311414431
6144450111220435504
76263313455132110
oct673322723276240
9128800056757654
1030471036435616
11978876a764987
1235015a8548b94
131400538b4b43a
14774b3da79040
1537c94ccb02b1
hex1bb6974d7ca0

30471036435616 has 96 divisors (see below), whose sum is σ = 68999098613760. Its totient is φ = 12975505171200.

The previous prime is 30471036435577. The next prime is 30471036435617. The reversal of 30471036435616 is 61653463017403.

It is a super-2 number, since 2×304710364356162 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30471036435616.

It is not an unprimeable number, because it can be changed into a prime (30471036435617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36336901 + ... + 37166011.

It is an arithmetic number, because the mean of its divisors is an integer number (718740610560).

Almost surely, 230471036435616 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 30471036435616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499549306880).

30471036435616 is an abundant number, since it is smaller than the sum of its proper divisors (38528062178144).

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

30471036435616 is a wasteful number, since it uses less digits than its factorization.

30471036435616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830178 (or 830170 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 49.

The spelling of 30471036435616 in words is "thirty trillion, four hundred seventy-one billion, thirty-six million, four hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 859 1337 1528 1718 2674 3056 3436 5348 6013 6112 6872 10696 12026 13744 21392 24052 27488 42784 48104 96208 164069 192416 328138 656276 829111 1148483 1312552 1658222 2296966 2625104 3316444 4593932 5250208 5803777 6632888 9187864 11607554 13265776 18375728 23215108 26531552 36751456 46430216 92860432 158360201 185720864 316720402 633440804 712206349 1108521407 1266881608 1424412698 2217042814 2533763216 2848825396 4434085628 4985444443 5067526432 5697650792 8868171256 9970888886 11395301584 17736342512 19941777772 22790603168 35472685024 39883555544 79767111088 136031412659 159534222176 272062825318 544125650636 952219888613 1088251301272 1904439777226 2176502602544 3808879554452 4353005205088 7617759108904 15235518217808 30471036435616