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67217243920 = 24519369111981
BaseRepresentation
bin111110100110011101…
…011011111100010000
320102111111002210011121
4332212131123330100
52100130103301140
650513522452024
74566464101111
oct764635337420
9212444083147
1067217243920
1126563422262
121103ab04014
136452a77218
143379200208
151b3618064a
hexfa675bf10

67217243920 has 80 divisors (see below), whose sum is σ = 164563663680. Its totient is φ = 25462771200.

The previous prime is 67217243843. The next prime is 67217243957. The reversal of 67217243920 is 2934271276.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5604330 + ... + 5616310.

It is an arithmetic number, because the mean of its divisors is an integer number (2057045796).

Almost surely, 267217243920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67217243920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82281831840).

67217243920 is an abundant number, since it is smaller than the sum of its proper divisors (97346419760).

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

67217243920 is a wasteful number, since it uses less digits than its factorization.

67217243920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15704 (or 15698 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 43.

The spelling of 67217243920 in words is "sixty-seven billion, two hundred seventeen million, two hundred forty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 3691 7382 11981 14764 18455 23962 29528 36910 47924 59056 59905 70129 73820 95848 119810 140258 147640 191696 227639 239620 280516 295280 350645 455278 479240 561032 701290 910556 958480 1122064 1138195 1402580 1821112 2276390 2805160 3642224 4552780 5610320 9105560 18211120 44221871 88443742 176887484 221109355 353774968 442218710 707549936 840215549 884437420 1680431098 1768874840 3360862196 3537749680 4201077745 6721724392 8402155490 13443448784 16804310980 33608621960 67217243920