Search a number
-
+
5067697050 = 23252134631871
BaseRepresentation
bin1001011100000111…
…01110101110011010
3111002011202200110100
410232003232232122
540334312301200
62154510200230
7236403466653
oct45603565632
914064680410
105067697050
112170645889
12b951b3076
13629ba2110
1436108452a
151e9d79d00
hex12e0eeb9a

5067697050 has 144 divisors (see below), whose sum is σ = 14702059008. Its totient is φ = 1244073600.

The previous prime is 5067697039. The next prime is 5067697057. The reversal of 5067697050 is 507967605.

It is a happy number.

5067697050 is a `hidden beast` number, since 506 + 7 + 6 + 97 + 0 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5067696987 and 5067697005.

It is not an unprimeable number, because it can be changed into a prime (5067697057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2707615 + ... + 2709485.

It is an arithmetic number, because the mean of its divisors is an integer number (102097632).

Almost surely, 25067697050 is an apocalyptic number.

5067697050 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 5067697050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7351029504).

5067697050 is an abundant number, since it is smaller than the sum of its proper divisors (9634361958).

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

5067697050 is a wasteful number, since it uses less digits than its factorization.

5067697050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5067697050 is about 71187.7591303449. The cubic root of 5067697050 is about 1717.6587319845.

The spelling of 5067697050 in words is "five billion, sixty-seven million, six hundred ninety-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 463 585 650 926 975 1170 1389 1871 1950 2315 2778 2925 3742 4167 4630 5613 5850 6019 6945 8334 9355 11226 11575 12038 13890 16839 18057 18710 20835 23150 24323 28065 30095 33678 34725 36114 41670 46775 48646 54171 56130 60190 69450 72969 84195 90285 93550 104175 108342 121615 140325 145938 150475 168390 180570 208350 218907 243230 270855 280650 300950 364845 420975 437814 451425 541710 608075 729690 841950 866273 902850 1094535 1216150 1354275 1732546 1824225 2189070 2598819 2708550 3648450 4331365 5197638 5472675 7796457 8662730 10945350 11261549 12994095 15592914 21656825 22523098 25988190 33784647 38982285 43313650 56307745 64970475 67569294 77964570 101353941 112615490 129940950 168923235 194911425 202707882 281538725 337846470 389822850 506769705 563077450 844616175 1013539410 1689232350 2533848525 5067697050