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58096000256 = 287194141617
BaseRepresentation
bin110110000110110010…
…101001110100000000
312112221210212121010012
4312012302221310000
51422440034002011
642404450524052
74124446566020
oct660662516400
9175853777105
1058096000256
112270274a958
12b314296628
13562b155c18
142b51a67a80
1517a0504a8b
hexd86ca9d00

58096000256 has 144 divisors (see below), whose sum is σ = 142912882560. Its totient is φ = 23011983360.

The previous prime is 58096000241. The next prime is 58096000273. The reversal of 58096000256 is 65200069085.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 1375160 + ... + 1416776.

Almost surely, 258096000256 is an apocalyptic number.

58096000256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58096000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71456441280).

58096000256 is an abundant number, since it is smaller than the sum of its proper divisors (84816882304).

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

58096000256 is a wasteful number, since it uses less digits than its factorization.

58096000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41700 (or 41686 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 41.

The spelling of 58096000256 in words is "fifty-eight billion, ninety-six million, two hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 64 76 82 112 128 133 152 164 224 256 266 287 304 328 448 532 574 608 656 779 896 1064 1148 1216 1312 1558 1792 2128 2296 2432 2624 3116 4256 4592 4864 5248 5453 6232 8512 9184 10496 10906 12464 17024 18368 21812 24928 34048 36736 41617 43624 49856 73472 83234 87248 99712 166468 174496 199424 291319 332936 348992 582638 665872 697984 790723 1165276 1331744 1395968 1581446 1706297 2330552 2663488 3162892 3412594 4661104 5326976 5535061 6325784 6825188 9322208 10653952 11070122 11944079 12651568 13650376 18644416 22140244 23888158 25303136 27300752 32419643 37288832 44280488 47776316 50606272 54601504 64839286 74577664 88560976 95552632 101212544 109203008 129678572 177121952 191105264 202425088 218406016 226937501 259357144 354243904 382210528 436812032 453875002 518714288 708487808 764421056 907750004 1037428576 1416975616 1528842112 1815500008 2074857152 3057684224 3631000016 4149714304 7262000032 8299428608 14524000064 29048000128 58096000256