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5150515000 = 235473103137
BaseRepresentation
bin1001100101111111…
…01001111100111000
3111021221121021022211
410302333221330320
541022012440000
62211025224504
7241430440501
oct46277517470
914257537284
105150515000
112203371174
12bb8a92134
136410ab017
1436c081ba8
152022887ba
hex132fe9f38

5150515000 has 160 divisors (see below), whose sum is σ = 12441892320. Its totient is φ = 1997568000.

The previous prime is 5150514989. The next prime is 5150515001. The reversal of 5150515000 is 5150515.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5150515001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 37594932 + ... + 37595068.

It is an arithmetic number, because the mean of its divisors is an integer number (77761827).

Almost surely, 25150515000 is an apocalyptic number.

5150515000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5150515000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220946160).

5150515000 is an abundant number, since it is smaller than the sum of its proper divisors (7291377320).

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

5150515000 is a wasteful number, since it uses less digits than its factorization.

5150515000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

The square root of 5150515000 is about 71767.0885573603. The cubic root of 5150515000 is about 1726.9650643997.

Adding to 5150515000 its reverse (5150515), we get a palindrome (5155665515).

5150515000 divided by its reverse (5150515) gives a cube (1000 = 103).

It can be divided in two parts, 5150 and 515000, that multiplied together give a square (2652250000 = 515002).

The spelling of 5150515000 in words is "five billion, one hundred fifty million, five hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 73 100 103 125 137 146 200 206 250 274 292 365 412 500 515 548 584 625 685 730 824 1000 1030 1096 1250 1370 1460 1825 2060 2500 2575 2740 2920 3425 3650 4120 5000 5150 5480 6850 7300 7519 9125 10001 10300 12875 13700 14111 14600 15038 17125 18250 20002 20600 25750 27400 28222 30076 34250 36500 37595 40004 45625 50005 51500 56444 60152 64375 68500 70555 73000 75190 80008 85625 91250 100010 103000 112888 128750 137000 141110 150380 171250 182500 187975 200020 250025 257500 282220 300760 342500 352775 365000 375950 400040 500050 515000 564440 685000 705550 751900 939875 1000100 1030103 1250125 1411100 1503800 1763875 1879750 2000200 2060206 2500250 2822200 3527750 3759500 4120412 4699375 5000500 5150515 6250625 7055500 7519000 8240824 8819375 9398750 10001000 10301030 12501250 14111000 17638750 18797500 20602060 25002500 25752575 35277500 37595000 41204120 50005000 51505150 70555000 103010300 128762875 206020600 257525750 515051500 643814375 1030103000 1287628750 2575257500 5150515000