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513214223515350 = 235271123435240829
BaseRepresentation
bin111010010110000111111111…
…1011111000111111011010110
32111022010210121122102022012020
41310230033333133013323112
51014232000212204442400
65015303205351434010
7213046334613526140
oct16454177737077326
92438123548368166
10513214223515350
11139586a25786325
1249688431085906
1319049b80378936
1490a39b55bdc90
153e4ed2e08e2a0
hex1d2c3ff7c7ed6

513214223515350 has 96 divisors (see below), whose sum is σ = 1455891022129920. Its totient is φ = 117201650163840.

The previous prime is 513214223515319. The next prime is 513214223515363. The reversal of 513214223515350 is 53515322412315.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216441265 + ... + 218799564.

It is an arithmetic number, because the mean of its divisors is an integer number (15165531480520).

Almost surely, 2513214223515350 is an apocalyptic number.

513214223515350 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

513214223515350 is an abundant number, since it is smaller than the sum of its proper divisors (942676798614570).

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

513214223515350 is a wasteful number, since it uses less digits than its factorization.

513214223515350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435241974 (or 435241969 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

Adding to 513214223515350 its reverse (53515322412315), we get a palindrome (566729545927665).

The spelling of 513214223515350 in words is "five hundred thirteen trillion, two hundred fourteen billion, two hundred twenty-three million, five hundred fifteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 1123 2246 3369 5615 6738 7861 11230 15722 16845 23583 28075 33690 39305 47166 56150 78610 84225 117915 168450 196525 235830 393050 589575 1179150 435240829 870481658 1305722487 2176204145 2611444974 3046685803 4352408290 6093371606 6528612435 9140057409 10881020725 13057224870 15233429015 18280114818 21762041450 30466858030 32643062175 45700287045 65286124350 76167145075 91400574090 152334290150 228501435225 457002870450 488775450967 977550901934 1466326352901 2443877254835 2932652705802 3421428156769 4887754509670 6842856313538 7331631764505 10264284470307 12219386274175 14663263529010 17107140783845 20528568940614 24438772548350 34214281567690 36658158822525 51321422351535 73316317645050 85535703919225 102642844703070 171071407838450 256607111757675 513214223515350