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51041200152324 = 22317253426165171
BaseRepresentation
bin10111001101011111101001…
…00110101001111100000100
320200201111020222221021121110
423212233310212221330010
523142224334214333244
6300320000442045020
713515414343612254
oct1346576446517404
9220644228837543
1051041200152324
11152994a6932248
1258841627a9770
13226321a5b9975
14c8659b78b964
155d7a734289b9
hex2e6bf49a9f04

51041200152324 has 144 divisors (see below), whose sum is σ = 128933170099776. Its totient is φ = 15706866739200.

The previous prime is 51041200152323. The next prime is 51041200152379. The reversal of 51041200152324 is 42325100214015.

It is a super-2 number, since 2×510412001523242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 51041200152291 and 51041200152300.

It is not an unprimeable number, because it can be changed into a prime (51041200152323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783156259 + ... + 783221429.

It is an arithmetic number, because the mean of its divisors is an integer number (895369236804).

Almost surely, 251041200152324 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 51041200152324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64466585049888).

51041200152324 is an abundant number, since it is smaller than the sum of its proper divisors (77891969947452).

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

51041200152324 is a wasteful number, since it uses less digits than its factorization.

51041200152324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69526 (or 69507 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 51041200152324 its reverse (42325100214015), we get a palindrome (93366300366339).

The spelling of 51041200152324 in words is "fifty-one trillion, forty-one billion, two hundred million, one hundred fifty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 159 204 212 289 318 578 636 867 901 1156 1734 1802 2703 3468 3604 4261 5406 8522 10812 12783 15317 17044 25566 30634 45951 51132 61268 65171 72437 91902 130342 144874 183804 195513 217311 225833 260684 289748 391026 434622 451666 677499 782052 869244 903332 1107907 1231429 1354998 2215814 2462858 2709996 3323721 3454063 3694287 3839161 4431628 4925716 6647442 6908126 7388574 7678322 10362189 11517483 13294884 13816252 14777148 15356644 18834419 20724378 23034966 37668838 41448756 46069932 56503257 58719071 65265737 75337676 113006514 117438142 130531474 176157213 195797211 226013028 234876284 261062948 277693631 352314426 391594422 555387262 704628852 783188844 833080893 998224207 1110774524 1666161786 1996448414 2994672621 3332323572 3992896828 4720791727 5989345242 9441583454 11978690484 14162375181 14717762443 18883166908 28324750362 29435524886 44153287329 56649500724 58871049772 80253459359 88306574658 160506918718 176613149316 240760378077 250201961531 321013837436 481520756154 500403923062 750605884593 963041512308 1000807846124 1501211769186 3002423538372 4253433346027 8506866692054 12760300038081 17013733384108 25520600076162 51041200152324