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51214150160 = 2453125312569
BaseRepresentation
bin101111101100100110…
…011110101000010000
311220012012110101112022
4233230212132220100
51314341310301120
635305532551012
73462064044065
oct575446365020
9156165411468
1051214150160
111a7a1064038
129b13622468
134aa2479a84
14269baa4c6c
1514eb278025
hexbec99ea10

51214150160 has 120 divisors (see below), whose sum is σ = 125369308440. Its totient is φ = 19449231360.

The previous prime is 51214150123. The next prime is 51214150199. The reversal of 51214150160 is 6105141215.

51214150160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25547546896 + 25666603264 = 159836^2 + 160208^2 .

It is a super-2 number, since 2×512141501602 (a number of 22 digits) contains 22 as substring.

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, 4068356 + ... + 4080924.

It is an arithmetic number, because the mean of its divisors is an integer number (1044744237).

Almost surely, 251214150160 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 51214150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62684654220).

51214150160 is an abundant number, since it is smaller than the sum of its proper divisors (74155158280).

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

51214150160 is a wasteful number, since it uses less digits than its factorization.

51214150160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12697 (or 12660 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 51214150160 its reverse (6105141215), we get a palindrome (57319291375).

The spelling of 51214150160 in words is "fifty-one billion, two hundred fourteen million, one hundred fifty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 53 62 80 106 124 155 212 248 265 310 424 496 530 620 848 961 1060 1240 1643 1922 2120 2480 3286 3844 4240 4805 6572 7688 8215 9610 12569 13144 15376 16430 19220 25138 26288 32860 38440 50276 50933 62845 65720 76880 100552 101866 125690 131440 201104 203732 251380 254665 389639 407464 502760 509330 666157 779278 814928 1005520 1018660 1332314 1558556 1948195 2037320 2664628 3117112 3330785 3896390 4074640 5329256 6234224 6661570 7792780 10658512 12078809 13323140 15585560 20650867 24157618 26646280 31171120 41301734 48315236 53292560 60394045 82603468 96630472 103254335 120788090 165206936 193260944 206508670 241576180 330413872 413017340 483152360 640176877 826034680 966304720 1280353754 1652069360 2560707508 3200884385 5121415016 6401768770 10242830032 12803537540 25607075080 51214150160