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50120015625 = 34561992
BaseRepresentation
bin101110101011011000…
…101011111100001001
311210100221122121010000
4232223120223330021
51310121211000000
635005205513213
73423010050351
oct565330537411
9153327577100
1050120015625
111a28a495619
129869112809
1349598a0aa4
1425d6651b61
1514851a0000
hexbab62bf09

50120015625 has 105 divisors (see below), whose sum is σ = 94059753051. Its totient is φ = 26596350000.

The previous prime is 50120015611. The next prime is 50120015633. The reversal of 50120015625 is 52651002105.

The square root of 50120015625 is 223875.

It is a perfect power (a square), and thus also a powerful number.

50120015625 is a `hidden beast` number, since 5 + 0 + 1 + 20 + 0 + 15 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43909945209 + 6210070416 = 209547^2 + 78804^2 .

It is not a de Polignac number, because 50120015625 - 27 = 50120015497 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 251859276 + ... + 251859474.

Almost surely, 250120015625 is an apocalyptic number.

50120015625 is the 223875-th square number.

50120015625 is the 111938-th centered octagonal number.

It is an amenable number.

50120015625 is a deficient number, since it is larger than the sum of its proper divisors (43939737426).

50120015625 is an frugal number, since it uses more digits than its factorization.

50120015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 50120015625 in words is "fifty billion, one hundred twenty million, fifteen thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 199 225 375 405 597 625 675 995 1125 1791 1875 2025 2985 3125 3375 4975 5373 5625 8955 9375 10125 14925 15625 16119 16875 24875 26865 28125 39601 44775 46875 50625 74625 80595 84375 118803 124375 134325 140625 198005 223875 253125 356409 373125 402975 421875 594015 621875 671625 990025 1069227 1119375 1265625 1782045 1865625 2014875 2970075 3109375 3207681 3358125 4950125 5346135 5596875 8910225 9328125 10074375 14850375 16038405 16790625 24750625 26730675 27984375 44551125 50371875 74251875 80192025 83953125 123753125 133653375 222755625 251859375 371259375 400960125 618765625 668266875 1113778125 1856296875 2004800625 3341334375 5568890625 10024003125 16706671875 50120015625