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74055305820 = 223517123758693
BaseRepresentation
bin100010011111000001…
…0100100101001011100
321002011001010022122110
41010332002210221130
52203131124241240
654004234114020
75231105466456
oct1047602445134
9232131108573
1074055305820
1129452320391
1212428b7b910
136ca26614b2
1438274452d6
151dd665cc80
hex113e0a4a5c

74055305820 has 96 divisors (see below), whose sum is σ = 219733432128. Its totient is φ = 18571087872.

The previous prime is 74055305791. The next prime is 74055305843. The reversal of 74055305820 is 2850355047.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1232394 + ... + 1291086.

It is an arithmetic number, because the mean of its divisors is an integer number (2288889918).

Almost surely, 274055305820 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 74055305820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109866716064).

74055305820 is an abundant number, since it is smaller than the sum of its proper divisors (145678126308).

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

74055305820 is a wasteful number, since it uses less digits than its factorization.

74055305820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59959 (or 59957 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 39.

The spelling of 74055305820 in words is "seventy-four billion, fifty-five million, three hundred five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 1237 2474 3711 4948 6185 7422 12370 14844 18555 21029 24740 37110 42058 58693 63087 74220 84116 105145 117386 126174 176079 210290 234772 252348 293465 315435 352158 420580 586930 630870 704316 880395 997781 1173860 1261740 1760790 1995562 2993343 3521580 3991124 4988905 5986686 9977810 11973372 14966715 19955620 29933430 59866860 72603241 145206482 217809723 290412964 363016205 435619446 726032410 871238892 1089048615 1234255097 1452064820 2178097230 2468510194 3702765291 4356194460 4937020388 6171275485 7405530582 12342550970 14811061164 18513826455 24685101940 37027652910 74055305820