Search a number
-
+
61042573360 = 2453797433491
BaseRepresentation
bin111000110110011010…
…111100000000110000
312211120011101000112101
4320312122330000300
52000003344321420
644013110110144
74260456212116
oct706632740060
9184504330471
1061042573360
1123984a3993a
12b9b704b354
1359aa7522c2
142d51123ab6
1518c404360a
hexe366bc030

61042573360 has 160 divisors (see below), whose sum is σ = 147903158592. Its totient is φ = 23410114560.

The previous prime is 61042573343. The next prime is 61042573411. The reversal of 61042573360 is 6337524016.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 124322715 + ... + 124323205.

Almost surely, 261042573360 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 61042573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73951579296).

61042573360 is an abundant number, since it is smaller than the sum of its proper divisors (86860585232).

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

61042573360 is a wasteful number, since it uses less digits than its factorization.

61042573360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 61042573360 in words is "sixty-one billion, forty-two million, five hundred seventy-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 97 148 185 194 296 370 388 433 485 491 592 740 776 866 970 982 1480 1552 1732 1940 1964 2165 2455 2960 3464 3589 3880 3928 4330 4910 6928 7178 7760 7856 8660 9820 14356 16021 17320 17945 18167 19640 28712 32042 34640 35890 36334 39280 42001 47627 57424 64084 71780 72668 80105 84002 90835 95254 128168 143560 145336 160210 168004 181670 190508 210005 212603 238135 256336 287120 290672 320420 336008 363340 381016 420010 425206 476270 640840 672016 726680 762032 840020 850412 952540 1063015 1281680 1453360 1554037 1680040 1700824 1762199 1905080 2126030 3108074 3360080 3401648 3524398 3810160 4252060 6216148 7048796 7770185 7866311 8504120 8810995 12432296 14097592 15540370 15732622 17008240 17621990 20622491 24864592 28195184 31080740 31465244 35243980 39331555 41244982 62161480 62930488 70487960 78663110 82489964 103112455 124322960 125860976 140975920 157326220 164979928 206224910 314652440 329959856 412449820 629304880 763032167 824899640 1526064334 1649799280 3052128668 3815160835 6104257336 7630321670 12208514672 15260643340 30521286680 61042573360