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50768201124 = 2232172474
BaseRepresentation
bin101111010010000001…
…010100010110100100
311212001010022211110100
4233102001110112210
51312433124413444
635153402424100
73445040406114
oct572201242644
9155033284410
1050768201124
111a592364a13
129a0a202030
134a30c6abc4
14265877d044
1514c2039e69
hexbd20545a4

50768201124 has 135 divisors (see below), whose sum is σ = 139287205057. Its totient is φ = 15588400512.

The previous prime is 50768201053. The next prime is 50768201161. The reversal of 50768201124 is 42110286705.

The square root of 50768201124 is 225318.

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

50768201124 is a `hidden beast` number, since 507 + 6 + 8 + 20 + 1 + 124 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39525416100 + 11242785024 = 198810^2 + 106032^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1080174469 + ... + 1080174515.

Almost surely, 250768201124 is an apocalyptic number.

50768201124 is the 225318-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50768201124

50768201124 is an abundant number, since it is smaller than the sum of its proper divisors (88519003933).

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

50768201124 is an frugal number, since it uses more digits than its factorization.

50768201124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

Multiplying 50768201124 by its sum of digits (36), we get a square (1827655240464 = 13519082).

50768201124 divided by its sum of digits (36) gives a square (1410227809 = 375532).

Adding to 50768201124 its reverse (42110286705), we get a palindrome (92878487829).

The spelling of 50768201124 in words is "fifty billion, seven hundred sixty-eight million, two hundred one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 289 306 423 564 578 612 799 846 867 1156 1598 1692 1734 2209 2397 2601 3196 3468 4418 4794 5202 6627 7191 8836 9588 10404 13254 13583 14382 19881 26508 27166 28764 37553 39762 40749 54332 75106 79524 81498 103823 112659 122247 150212 162996 207646 225318 244494 311469 337977 415292 450636 488988 622938 638401 675954 934407 1245876 1276802 1351908 1764991 1868814 1915203 2553604 3529982 3737628 3830406 4879681 5294973 5745609 7059964 7660812 9759362 10589946 11491218 14639043 15884919 19518724 21179892 22982436 29278086 30004847 31769838 43917129 58556172 60009694 63539676 82954577 87834258 90014541 120019388 165909154 175668516 180029082 248863731 270043623 331818308 360058164 497727462 540087246 746591193 995454924 1080174492 1410227809 1493182386 2820455618 2986364772 4230683427 5640911236 8461366854 12692050281 16922733708 25384100562 50768201124