Search a number
-
+
61367578480 = 2451373859941
BaseRepresentation
bin111001001001110010…
…101110111101110000
312212101210220222202001
4321021302232331300
52001140100002410
644105240103344
74301513544655
oct711162567560
9185353828661
1061367578480
112403144200a
12ba87a64b54
135a2cb96720
142d82365c2c
1518e284133a
hexe49caef70

61367578480 has 160 divisors (see below), whose sum is σ = 156106883520. Its totient is φ = 22298664960.

The previous prime is 61367578471. The next prime is 61367578541. The reversal of 61367578480 is 8487576316.

It is a super-2 number, since 2×613675784802 (a number of 22 digits) contains 22 as substring.

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, 65214810 + ... + 65215750.

It is an arithmetic number, because the mean of its divisors is an integer number (975668022).

Almost surely, 261367578480 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 61367578480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78053441760).

61367578480 is an abundant number, since it is smaller than the sum of its proper divisors (94739305040).

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

61367578480 is a wasteful number, since it uses less digits than its factorization.

61367578480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 55.

The spelling of 61367578480 in words is "sixty-one billion, three hundred sixty-seven million, five hundred seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 208 260 292 365 520 584 730 859 941 949 1040 1168 1460 1718 1882 1898 2920 3436 3764 3796 4295 4705 4745 5840 6872 7528 7592 8590 9410 9490 11167 12233 13744 15056 15184 17180 18820 18980 22334 24466 34360 37640 37960 44668 48932 55835 61165 62707 68693 68720 75280 75920 89336 97864 111670 122330 125414 137386 178672 195728 223340 244660 250828 274772 313535 343465 446680 489320 501656 549544 627070 686930 808319 815191 893009 893360 978640 1003312 1099088 1254140 1373860 1616638 1630382 1786018 2508280 2747720 3233276 3260764 3572036 4041595 4075955 4465045 5016560 5495440 6466552 6521528 7144072 8083190 8151910 8930090 10508147 12933104 13043056 14288144 16166380 16303820 17860180 21016294 32332760 32607640 35720360 42032588 52540735 59007287 64665520 65215280 71440720 84065176 105081470 118014574 168130352 210162940 236029148 295036435 420325880 472058296 590072870 767094731 840651760 944116592 1180145740 1534189462 2360291480 3068378924 3835473655 4720582960 6136757848 7670947310 12273515696 15341894620 30683789240 61367578480