Search a number
-
+
51324450051400 = 23523734549151241
BaseRepresentation
bin10111010101101111001111…
…00111010001010101001000
320201201120101011121000112021
423222313213213101111020
523211344433203121100
6301054043222254224
713545032501205301
oct1352674747212510
9221646334530467
1051324450051400
1115398639034829
12590b032587374
132283b4b130946
14c9618c0a17a8
155e0100324a1a
hex2eade79d1548

51324450051400 has 96 divisors (see below), whose sum is σ = 119676357801000. Its totient is φ = 20470104115200.

The previous prime is 51324450051349. The next prime is 51324450051439. The reversal of 51324450051400 is 415005442315.

It can be written as a sum of positive squares in 12 ways, for example, as 1707951016996 + 49616499034404 = 1306886^2 + 7043898^2 .

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, 339279780 + ... + 339431020.

Almost surely, 251324450051400 is an apocalyptic number.

51324450051400 is a gapful number since it is divisible by the number (50) 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 51324450051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59838178900500).

51324450051400 is an abundant number, since it is smaller than the sum of its proper divisors (68351907749600).

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

51324450051400 is a wasteful number, since it uses less digits than its factorization.

51324450051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156179 (or 156170 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 51324450051400 its reverse (415005442315), we get a palindrome (51739455493715).

The spelling of 51324450051400 in words is "fifty-one trillion, three hundred twenty-four billion, four hundred fifty million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 373 746 1492 1865 2984 3730 4549 7460 9098 9325 14920 18196 18650 22745 36392 37300 45490 74600 90980 113725 151241 181960 227450 302482 454900 604964 756205 909800 1209928 1512410 1696777 3024820 3393554 3781025 6049640 6787108 7562050 8483885 13574216 15124100 16967770 30248200 33935540 42419425 56412893 67871080 84838850 112825786 169677700 225651572 282064465 339355400 451303144 564128930 687995309 1128257860 1375990618 1410322325 2256515720 2751981236 2820644650 3439976545 5503962472 5641289300 6879953090 11282578600 13759906180 17199882725 27519812360 34399765450 68799530900 137599061800 256622250257 513244500514 1026489001028 1283111251285 2052978002056 2566222502570 5132445005140 6415556256425 10264890010280 12831112512850 25662225025700 51324450051400