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51504350130 = 23251923834139
BaseRepresentation
bin101111111101111001…
…100000001110110010
311220221102112002001100
4233331321200032302
51320440103201010
635354420545230
73502216516122
oct577571401662
9156842462040
1051504350130
111a92a954622
129b94852216
134b1a62602c
1426c8446c82
15151699d2c0
hexbfde603b2

51504350130 has 144 divisors (see below), whose sum is σ = 141733463040. Its totient is φ = 12974516928.

The previous prime is 51504350113. The next prime is 51504350143. The reversal of 51504350130 is 3105340515.

51504350130 is a `hidden beast` number, since 5 + 150 + 4 + 3 + 501 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 51504350094 and 51504350103.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12441601 + ... + 12445739.

It is an arithmetic number, because the mean of its divisors is an integer number (984260160).

Almost surely, 251504350130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51504350130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70866731520).

51504350130 is an abundant number, since it is smaller than the sum of its proper divisors (90229112910).

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

51504350130 is a wasteful number, since it uses less digits than its factorization.

51504350130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4573 (or 4551 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 51504350130 its reverse (3105340515), we get a palindrome (54609690645).

The spelling of 51504350130 in words is "fifty-one billion, five hundred four million, three hundred fifty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 361 383 570 722 766 855 1083 1149 1710 1805 1915 2166 2298 3249 3447 3610 3830 4139 5415 5745 6498 6894 7277 8278 10830 11490 12417 14554 16245 17235 20695 21831 24834 32490 34470 36385 37251 41390 43662 62085 65493 72770 74502 78641 109155 124170 130986 138263 157282 186255 218310 235923 276526 327465 372510 393205 414789 471846 654930 691315 707769 786410 829578 1179615 1244367 1382630 1415538 1494179 1585237 2073945 2359230 2488734 2988358 3170474 3538845 4147890 4482537 4755711 6221835 7077690 7470895 7926185 8965074 9511422 12443670 13447611 14267133 14941790 15852370 22412685 23778555 26895222 28534266 30119503 44825370 47557110 60239006 67238055 71335665 90358509 134476110 142671330 150597515 180717018 271075527 301195030 451792545 542151054 572270557 903585090 1144541114 1355377635 1716811671 2710755270 2861352785 3433623342 5150435013 5722705570 8584058355 10300870026 17168116710 25752175065 51504350130