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51023034320 = 24517130128837
BaseRepresentation
bin101111100001001101…
…011011011111010000
311212200212211200212212
4233201031123133100
51313443344044240
635234544411252
73454253431046
oct574115333720
9155625750785
1051023034320
111a703199965
129a7b616b28
134a719b348b
142680556396
1514d95c6165
hexbe135b7d0

51023034320 has 80 divisors (see below), whose sum is σ = 125707610448. Its totient is φ = 19193241600.

The previous prime is 51023034253. The next prime is 51023034329. The reversal of 51023034320 is 2343032015.

It can be written as a sum of positive squares in 8 ways, for example, as 2589588544 + 48433445776 = 50888^2 + 220076^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51023034329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1754942 + ... + 1783778.

Almost surely, 251023034320 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 51023034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853805224).

51023034320 is an abundant number, since it is smaller than the sum of its proper divisors (74684576128).

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

51023034320 is a wasteful number, since it uses less digits than its factorization.

51023034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30168 (or 30162 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

Adding to 51023034320 its reverse (2343032015), we get a palindrome (53366066335).

The spelling of 51023034320 in words is "fifty-one billion, twenty-three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1301 1360 2602 5204 6505 10408 13010 20816 22117 26020 28837 44234 52040 57674 88468 104080 110585 115348 144185 176936 221170 230696 288370 353872 442340 461392 490229 576740 884680 980458 1153480 1769360 1960916 2306960 2451145 3921832 4902290 7843664 9804580 19609160 37516937 39218320 75033874 150067748 187584685 300135496 375169370 600270992 637787929 750338740 1275575858 1500677480 2551151716 3001354960 3188939645 5102303432 6377879290 10204606864 12755758580 25511517160 51023034320