Search a number
-
+
5156939073024 = 29324517247759
BaseRepresentation
bin100101100001011000110…
…0001011000011000000000
3200020222221221200001222100
41023002301201120120000
51133442402400314044
614545022021310400
71041401520605034
oct113026141303000
920228857601870
105156939073024
111709055735a02
126b3548565400
132b53b313679b
1413b8509541c4
158e2255d2869
hex4b0b1858600

5156939073024 has 120 divisors (see below), whose sum is σ = 14886630364320. Its totient is φ = 1718592196608.

The previous prime is 5156939073007. The next prime is 5156939073037. The reversal of 5156939073024 is 4203709396515.

5156939073024 is a `hidden beast` number, since 5 + 1 + 569 + 3 + 9 + 0 + 73 + 0 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20690457 + ... + 20938215.

It is an arithmetic number, because the mean of its divisors is an integer number (124055253036).

Almost surely, 25156939073024 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 5156939073024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443315182160).

5156939073024 is an abundant number, since it is smaller than the sum of its proper divisors (9729691291296).

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

5156939073024 is a wasteful number, since it uses less digits than its factorization.

5156939073024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252300 (or 252281 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 5156939073024 in words is "five trillion, one hundred fifty-six billion, nine hundred thirty-nine million, seventy-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4517 4608 9034 13551 18068 27102 36136 40653 54204 72272 81306 108408 144544 162612 216816 247759 289088 325224 433632 495518 578176 650448 743277 867264 991036 1156352 1300896 1486554 1734528 1982072 2229831 2312704 2601792 2973108 3469056 3964144 4459662 5203584 5946216 6938112 7928288 8919324 10407168 11892432 15856576 17838648 20814336 23784864 31713152 35677296 47569728 63426304 71354592 95139456 126852608 142709184 190278912 285418368 380557824 570836736 1119127403 1141673472 2238254806 3357382209 4476509612 6714764418 8953019224 10072146627 13429528836 17906038448 20144293254 26859057672 35812076896 40288586508 53718115344 71624153792 80577173016 107436230688 143248307584 161154346032 214872461376 286496615168 322308692064 429744922752 572993230336 644617384128 859489845504 1289234768256 1718979691008 2578469536512 5156939073024