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42804640728 = 2333238616071
BaseRepresentation
bin100111110111010110…
…101111101111011000
311002111010111001022000
4213313112233233120
51200130442000403
631355244001000
73043511304633
oct476726575730
9132433431260
1042804640728
1117176116143
128367230160
134062145ba5
142100c7cc1a
1511a7d3b7a3
hex9f75afbd8

42804640728 has 64 divisors (see below), whose sum is σ = 124071436800. Its totient is φ = 13647854880.

The previous prime is 42804640699. The next prime is 42804640733. The reversal of 42804640728 is 82704640824.

42804640728 is a `hidden beast` number, since 42 + 80 + 464 + 0 + 72 + 8 = 666.

It is a congruent number.

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, 4303068 + ... + 4313003.

It is an arithmetic number, because the mean of its divisors is an integer number (1938616200).

Almost surely, 242804640728 is an apocalyptic number.

It is an amenable number.

42804640728 is an abundant number, since it is smaller than the sum of its proper divisors (81266796072).

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

42804640728 is a wasteful number, since it uses less digits than its factorization.

42804640728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8616109 (or 8616099 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 42804640728 in words is "forty-two billion, eight hundred four million, six hundred forty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 2484 4968 8616071 17232142 25848213 34464284 51696426 68928568 77544639 103392852 155089278 198169633 206785704 232633917 310178556 396339266 465267834 594508899 620357112 792678532 930535668 1189017798 1585357064 1783526697 1861071336 2378035596 3567053394 4756071192 5350580091 7134106788 10701160182 14268213576 21402320364 42804640728