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20167045680 = 2435103815819
BaseRepresentation
bin10010110010000011…
…001011001000110000
31221001110212001211210
4102302003023020300
5312300230430210
613133053440120
71312521026355
oct226203131060
957043761753
1020167045680
118609853a01
123aa9aa0040
131b95194332
14d9456a62c
157d0765e20
hex4b20cb230

20167045680 has 80 divisors (see below), whose sum is σ = 63124888320. Its totient is φ = 5325659904.

The previous prime is 20167045669. The next prime is 20167045711. The reversal of 20167045680 is 8654076102.

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

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 15 ways as a sum of consecutive naturals, for example, 383190 + ... + 432629.

It is an arithmetic number, because the mean of its divisors is an integer number (789061104).

Almost surely, 220167045680 is an apocalyptic number.

20167045680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20167045680 is an abundant number, since it is smaller than the sum of its proper divisors (42957842640).

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

20167045680 is a wasteful number, since it uses less digits than its factorization.

20167045680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815938 (or 815932 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 20167045680 in words is "twenty billion, one hundred sixty-seven million, forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 824 1030 1236 1545 1648 2060 2472 3090 4120 4944 6180 8240 12360 24720 815819 1631638 2447457 3263276 4079095 4894914 6526552 8158190 9789828 12237285 13053104 16316380 19579656 24474570 32632760 39159312 48949140 65265520 84029357 97898280 168058714 195796560 252088071 336117428 420146785 504176142 672234856 840293570 1008352284 1260440355 1344469712 1680587140 2016704568 2520880710 3361174280 4033409136 5041761420 6722348560 10083522840 20167045680