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5122616012304 = 2437127357133617
BaseRepresentation
bin100101010001011001110…
…1101010010111000010000
3200010201100220202221011020
41022202303231102320100
51132412104144343204
614521144115115440
71036045125445440
oct112426355227020
920121326687136
105122616012304
1116a554221341a
126a89698a2b80
132b20a32398bb
14139d162dc120
158d3b71bbbd9
hex4a8b3b52e10

5122616012304 has 160 divisors (see below), whose sum is σ = 15247721988096. Its totient is φ = 1451630315520.

The previous prime is 5122616012299. The next prime is 5122616012309. The reversal of 5122616012304 is 4032106162215.

It is an interprime number because it is at equal distance from previous prime (5122616012299) and next prime (5122616012309).

It is not an unprimeable number, because it can be changed into a prime (5122616012309) by changing a digit.

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, 152364904 + ... + 152398520.

Almost surely, 25122616012304 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 5122616012304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623860994048).

5122616012304 is an abundant number, since it is smaller than the sum of its proper divisors (10125105975792).

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

5122616012304 is a wasteful number, since it uses less digits than its factorization.

5122616012304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37333 (or 37327 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 5122616012304 in words is "five trillion, one hundred twenty-two billion, six hundred sixteen million, twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 127 168 254 336 381 508 762 889 1016 1524 1778 2032 2667 3048 3556 3571 5334 6096 7112 7142 10668 10713 14224 14284 21336 21426 24997 28568 33617 42672 42852 49994 57136 67234 74991 85704 99988 100851 134468 149982 171408 199976 201702 235319 268936 299964 399952 403404 453517 470638 537872 599928 705957 806808 907034 941276 1199856 1360551 1411914 1613616 1814068 1882552 2721102 2823828 3174619 3628136 3765104 4269359 5442204 5647656 6349238 7256272 8538718 9523857 10884408 11295312 12698476 12808077 17077436 19047714 21768816 25396952 25616154 29885513 34154872 38095428 50793904 51232308 59771026 68309744 76190856 89656539 102464616 119542052 120046307 152381712 179313078 204929232 239084104 240092614 358626156 360138921 478168208 480185228 717252312 720277842 840324149 960370456 1434504624 1440555684 1680648298 1920740912 2520972447 2881111368 3361296596 5041944894 5762222736 6722593192 10083889788 13445186384 15245880989 20167779576 30491761978 40335559152 45737642967 60983523956 91475285934 106721166923 121967047912 182950571868 213442333846 243934095824 320163500769 365901143736 426884667692 640327001538 731802287472 853769335384 1280654003076 1707538670768 2561308006152 5122616012304