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51034563450 = 232521341212777
BaseRepresentation
bin101111100001111001…
…011010001101111010
311212201200112102212200
4233201321122031322
51314004322012300
635240035451030
73454453426503
oct574171321572
9155650472780
1051034563450
111a709753972
129a83456a76
134a741bc050
142681cb7baa
1514da602200
hexbe1e5a37a

51034563450 has 144 divisors (see below), whose sum is σ = 151262177976. Its totient is φ = 12255897600.

The previous prime is 51034563427. The next prime is 51034563473. The reversal of 51034563450 is 5436543015.

51034563450 is a `hidden beast` number, since 5 + 10 + 3 + 4 + 5 + 634 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51034563427) and next prime (51034563473).

It can be written as a sum of positive squares in 12 ways, for example, as 876929769 + 50157633681 = 29613^2 + 223959^2 .

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, 133462 + ... + 346238.

Almost surely, 251034563450 is an apocalyptic number.

51034563450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51034563450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75631088988).

51034563450 is an abundant number, since it is smaller than the sum of its proper divisors (100227614526).

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

51034563450 is a wasteful number, since it uses less digits than its factorization.

51034563450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212849 (or 212841 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 51034563450 in words is "fifty-one billion, thirty-four million, five hundred sixty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 41 45 50 65 75 78 82 90 117 123 130 150 195 205 225 234 246 325 369 390 410 450 533 585 615 650 738 975 1025 1066 1170 1230 1599 1845 1950 2050 2665 2925 3075 3198 3690 4797 5330 5850 6150 7995 9225 9594 13325 15990 18450 23985 26650 39975 47970 79950 119925 212777 239850 425554 638331 1063885 1276662 1914993 2127770 2766101 3191655 3829986 5319425 5532202 6383310 8298303 8723857 9574965 10638850 13830505 15958275 16596606 17447714 19149930 24894909 26171571 27661010 31916550 41491515 43619285 47874825 49789818 52343142 69152525 78514713 82983030 87238570 95749650 113410141 124474545 130857855 138305050 157029426 207457575 218096425 226820282 248949090 261715710 340230423 392573565 414915150 436192850 567050705 622372725 654289275 680460846 785147130 1020691269 1134101410 1244745450 1308578550 1701152115 1962867825 2041382538 2835253525 3402304230 3925735650 5103456345 5670507050 8505760575 10206912690 17011521150 25517281725 51034563450