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513104327250 = 235322914991993
BaseRepresentation
bin1110111011101110110…
…01101011001001010010
31211001102010022111210020
413131313121223021102
531401314201433000
61031414502244310
752033126551144
oct7356731531122
91731363274706
10513104327250
1118867401a519
1283539726696
1339502019a78
141ab97788c94
15d5312e1ba0
hex777766b252

513104327250 has 128 divisors (see below), whose sum is σ = 1287804960000. Its totient is φ = 136071129600.

The previous prime is 513104327243. The next prime is 513104327297. The reversal of 513104327250 is 52723401315.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257452254 + ... + 257454246.

It is an arithmetic number, because the mean of its divisors is an integer number (10060976250).

Almost surely, 2513104327250 is an apocalyptic number.

513104327250 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 513104327250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643902480000).

513104327250 is an abundant number, since it is smaller than the sum of its proper divisors (774700632750).

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

513104327250 is a wasteful number, since it uses less digits than its factorization.

513104327250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

Adding to 513104327250 its reverse (52723401315), we get a palindrome (565827728565).

The spelling of 513104327250 in words is "five hundred thirteen billion, one hundred four million, three hundred twenty-seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 229 250 375 458 687 750 1145 1374 1499 1993 2290 2998 3435 3986 4497 5725 5979 6870 7495 8994 9965 11450 11958 14990 17175 19930 22485 28625 29895 34350 37475 44970 49825 57250 59790 74950 85875 99650 112425 149475 171750 187375 224850 249125 298950 343271 374750 456397 498250 562125 686542 747375 912794 1029813 1124250 1369191 1494750 1716355 2059626 2281985 2738382 2987507 3432710 4563970 5149065 5975014 6845955 8581775 8962521 10298130 11409925 13691910 14937535 17163550 17925042 22819850 25745325 29875070 34229775 42908875 44812605 51490650 57049625 68459550 74687675 85817750 89625210 114099250 128726625 149375350 171148875 224063025 257453250 342297750 373438375 448126050 684139103 746876750 1120315125 1368278206 2052417309 2240630250 3420695515 4104834618 6841391030 10262086545 17103477575 20524173090 34206955150 51310432725 85517387875 102620865450 171034775750 256552163625 513104327250