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58053466674 = 23272474493119
BaseRepresentation
bin110110000100010000…
…011001101000110010
312112211211211200000100
4312010100121220302
51422343141413144
642400331133230
74123422216300
oct660420315062
9175754750010
1058053466674
1122690739835
12b301ba4216
1356223b3118
142b4a155270
15179b902269
hexd84419a32

58053466674 has 144 divisors (see below), whose sum is σ = 149812416000. Its totient is φ = 16192447488.

The previous prime is 58053466661. The next prime is 58053466693. The reversal of 58053466674 is 47666435085.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58053466674.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18611287 + ... + 18614405.

It is an arithmetic number, because the mean of its divisors is an integer number (1040364000).

Almost surely, 258053466674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58053466674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74906208000).

58053466674 is an abundant number, since it is smaller than the sum of its proper divisors (91758949326).

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

58053466674 is a wasteful number, since it uses less digits than its factorization.

58053466674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 58053466674 in words is "fifty-eight billion, fifty-three million, four hundred sixty-six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 47 49 63 94 98 126 141 147 282 294 329 423 441 449 658 846 882 898 987 1347 1974 2303 2694 2961 3119 3143 4041 4606 5922 6238 6286 6909 8082 9357 9429 13818 18714 18858 20727 21103 21833 22001 28071 28287 41454 42206 43666 44002 56142 56574 63309 65499 66003 126618 130998 132006 146593 147721 152831 189927 196497 198009 293186 295442 305662 379854 392994 396018 439779 443163 458493 879558 886326 916986 1026151 1034047 1319337 1329489 1375479 1400431 2052302 2068094 2638674 2658978 2750958 2800862 3078453 3102141 4201293 6156906 6204282 7183057 8402586 9235359 9306423 9803017 12603879 14366114 18470718 18612846 19606034 21549171 25207758 29409051 43098342 58818102 64647513 65820257 68621119 88227153 129295026 131640514 137242238 176454306 197460771 205863357 394921542 411726714 460741799 592382313 617590071 921483598 1184764626 1235180142 1382225397 2764450794 3225192593 4146676191 6450385186 8293352382 9675577779 19351155558 29026733337 58053466674