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513469512200 = 235223222032
BaseRepresentation
bin1110111100011010010…
…10101111101000001000
31211002100120110211100202
413132031022233220020
531403041143342300
61031515025351332
752045152561251
oct7361512575010
91732316424322
10513469512200
11188841176367
128361ba98548
133955c88b838
141abd0089b28
15d5533c9ad5
hex778d2afa08

513469512200 has 108 divisors (see below), whose sum is σ = 1248545175885. Its totient is φ = 196368722880.

The previous prime is 513469512161. The next prime is 513469512217. The reversal of 513469512200 is 2215964315.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 503200121956 + 10269390244 = 709366^2 + 101338^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=506690.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 233076299 + ... + 233078501.

Almost surely, 2513469512200 is an apocalyptic number.

513469512200 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 513469512200

513469512200 is an abundant number, since it is smaller than the sum of its proper divisors (735075663685).

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

513469512200 is an equidigital number, since it uses as much as digits as its factorization.

513469512200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 513469512200 in words is "five hundred thirteen billion, four hundred sixty-nine million, five hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 529 575 920 1058 1150 2116 2203 2300 2645 4232 4406 4600 5290 8812 10580 11015 13225 17624 21160 22030 26450 44060 50669 52900 55075 88120 101338 105800 110150 202676 220300 253345 405352 440600 506690 1013380 1165387 1266725 2026760 2330774 2533450 4661548 4853209 5066900 5826935 9323096 9706418 10133800 11653870 19412836 23307740 24266045 29134675 38825672 46615480 48532090 58269350 97064180 111623807 116538700 121330225 194128360 223247614 233077400 242660450 446495228 485320900 558119035 892990456 970641800 1116238070 2232476140 2567347561 2790595175 4464952280 5134695122 5581190350 10269390244 11162380700 12836737805 20538780488 22324761400 25673475610 51346951220 64183689025 102693902440 128367378050 256734756100 513469512200