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217428920000 = 26545435723
BaseRepresentation
bin1100101001111111000…
…1100000011011000000
3202210012222212120000222
43022133301200123000
512030243300420000
6243515132202212
721465043216565
oct3123761403300
9683188776028
10217428920000
1184235a58816
1236180609368
131767113b3a6
14a748b3286c
1559c8623a85
hex329fc606c0

217428920000 has 70 divisors (see below), whose sum is σ = 539153156388. Its totient is φ = 86971552000.

The previous prime is 217428919993. The next prime is 217428920017. The reversal of 217428920000 is 29824712.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2677862 + ... + 2757861.

Almost surely, 2217428920000 is an apocalyptic number.

217428920000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217428920000 is an abundant number, since it is smaller than the sum of its proper divisors (321724236388).

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

217428920000 is an frugal number, since it uses more digits than its factorization.

217428920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435755 (or 5435730 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The spelling of 217428920000 in words is "two hundred seventeen billion, four hundred twenty-eight million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5435723 10871446 21742892 27178615 43485784 54357230 86971568 108714460 135893075 173943136 217428920 271786150 347886272 434857840 543572300 679465375 869715680 1087144600 1358930750 1739431360 2174289200 2717861500 3397326875 4348578400 5435723000 6794653750 8697156800 10871446000 13589307500 21742892000 27178615000 43485784000 54357230000 108714460000 217428920000