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5830995122136 = 23321511759304907
BaseRepresentation
bin101010011011010001001…
…1001001001011111011000
3202122102211002001012201100
41110312202121021133120
51231013334222402021
620222415553551400
71141163331516552
oct124664231113730
922572732035640
105830995122136
111948a02807278
127a2104575560
13333b256258a2
141623163944d2
15a1a26ba8626
hex54da26497d8

5830995122136 has 96 divisors (see below), whose sum is σ = 15905952691200. Its totient is φ = 1929689092800.

The previous prime is 5830995122129. The next prime is 5830995122153. The reversal of 5830995122136 is 6312215990385.

5830995122136 is a `hidden beast` number, since 5 + 8 + 3 + 0 + 99 + 512 + 2 + 1 + 36 = 666.

It is a super-2 number, since 2×58309951221362 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18971395 + ... + 19276301.

It is an arithmetic number, because the mean of its divisors is an integer number (165687007200).

Almost surely, 25830995122136 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 5830995122136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7952976345600).

5830995122136 is an abundant number, since it is smaller than the sum of its proper divisors (10074957569064).

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

5830995122136 is a wasteful number, since it uses less digits than its factorization.

5830995122136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306829 (or 306822 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 5830995122136 in words is "five trillion, eight hundred thirty billion, nine hundred ninety-five million, one hundred twenty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 151 302 453 604 906 1208 1359 1759 1812 2718 3518 3624 5277 5436 7036 10554 10872 14072 15831 21108 31662 42216 63324 126648 265609 304907 531218 609814 796827 914721 1062436 1219628 1593654 1829442 2124872 2390481 2439256 2744163 3187308 3658884 4780962 5488326 6374616 7317768 9561924 10976652 19123848 21953304 46040957 92081914 138122871 184163828 276245742 368327656 414368613 536331413 552491484 828737226 1072662826 1104982968 1608994239 1657474452 2145325652 3217988478 3314948904 4290651304 4826982717 6435976956 9653965434 12871953912 19307930868 38615861736 80986043363 161972086726 242958130089 323944173452 485916260178 647888346904 728874390267 971832520356 1457748780534 1943665040712 2915497561068 5830995122136