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2127480770304 = 28326531414067
BaseRepresentation
bin11110111101010111101…
…111000100111100000000
321112101101210101222010100
4132331113233010330000
5234324040034122204
64305203504202400
7306463646113311
oct36752757047400
97471353358110
102127480770304
117502944823aa
122a43a1009400
1312580b535b36
1474d83540608
153a519ab7a39
hex1ef57bc4f00

2127480770304 has 108 divisors (see below), whose sum is σ = 6143449535496. Its totient is φ = 708073752576.

The previous prime is 2127480770287. The next prime is 2127480770309. The reversal of 2127480770304 is 4030770847212.

2127480770304 is a `hidden beast` number, since 2 + 1 + 274 + 8 + 0 + 7 + 70 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2127480770304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127480770309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 797479 + ... + 2211545.

Almost surely, 22127480770304 is an apocalyptic number.

2127480770304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2127480770304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071724767748).

2127480770304 is an abundant number, since it is smaller than the sum of its proper divisors (4015968765192).

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

2127480770304 is a wasteful number, since it uses less digits than its factorization.

2127480770304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414742 (or 1414725 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 2127480770304 in words is "two trillion, one hundred twenty-seven billion, four hundred eighty million, seven hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 653 768 1152 1306 1959 2304 2612 3918 5224 5877 7836 10448 11754 15672 20896 23508 31344 41792 47016 62688 83584 94032 125376 167168 188064 250752 376128 501504 752256 1414067 1504512 2828134 4242201 5656268 8484402 11312536 12726603 16968804 22625072 25453206 33937608 45250144 50906412 67875216 90500288 101812824 135750432 181000576 203625648 271500864 362001152 407251296 543001728 814502592 923385751 1086003456 1629005184 1846771502 2770157253 3258010368 3693543004 5540314506 7387086008 8310471759 11080629012 14774172016 16620943518 22161258024 29548344032 33241887036 44322516048 59096688064 66483774072 88645032096 118193376128 132967548144 177290064192 236386752256 265935096288 354580128384 531870192576 709160256768 1063740385152 2127480770304