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516000060400 = 245211117272741
BaseRepresentation
bin1111000001001000000…
…00000001001111110000
31211022212221010222220011
413200210000001033300
531423232003413100
61033014104024304
752164651100636
oct7404400011760
91738787128804
10516000060400
1118991a644710
1284007462094
1339873c25636
141ad901ad356
15d65063bbba
hex78240013f0

516000060400 has 60 divisors (see below), whose sum is σ = 1352389260744. Its totient is φ = 187636384000.

The previous prime is 516000060391. The next prime is 516000060421. The reversal of 516000060400 is 4060000615.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58631971 + ... + 58640770.

Almost surely, 2516000060400 is an apocalyptic number.

516000060400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

516000060400 is an abundant number, since it is smaller than the sum of its proper divisors (836389200344).

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

516000060400 is a wasteful number, since it uses less digits than its factorization.

516000060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117272770 (or 117272759 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The spelling of 516000060400 in words is "five hundred sixteen billion, sixty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 117272741 234545482 469090964 586363705 938181928 1172727410 1290000151 1876363856 2345454820 2580000302 2931818525 4690909640 5160000604 5863637050 6450000755 9381819280 10320001208 11727274100 12900001510 20640002416 23454548200 25800003020 32250003775 46909096400 51600006040 64500007550 103200012080 129000015100 258000030200 516000060400