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61115919979088 = 24133146729096977
BaseRepresentation
bin11011110010101101010001…
…01100110101001001010000
322000101121212112201000110002
431321112220230311021100
531002310401003312323
6333552133244225132
715605323320312242
oct1571265054651120
9260347775630402
1061115919979088
11185231305a3007
126a30811b3b1a8
13281428b972c20
1411140522a2092
1570eb72ede828
hex3795a8b35250

61115919979088 has 160 divisors (see below), whose sum is σ = 131980422712320. Its totient is φ = 27225714032640.

The previous prime is 61115919979031. The next prime is 61115919979111. The reversal of 61115919979088 is 88097991951116.

It is a happy number.

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, 8759623856 + ... + 8759630832.

It is an arithmetic number, because the mean of its divisors is an integer number (824877641952).

Almost surely, 261115919979088 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 61115919979088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65990211356160).

61115919979088 is an abundant number, since it is smaller than the sum of its proper divisors (70864502733232).

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

61115919979088 is a wasteful number, since it uses less digits than its factorization.

61115919979088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10399 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 74.

The spelling of 61115919979088 in words is "sixty-one trillion, one hundred fifteen billion, nine hundred nineteen million, nine hundred seventy-nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 467 496 806 934 1612 1868 2909 3224 3736 5818 6071 6448 6977 7472 11636 12142 13954 14477 23272 24284 27908 28954 37817 46544 48568 55816 57908 75634 90179 90701 97136 111632 115816 151268 180358 181402 188201 216287 231632 302536 360716 362804 376402 432574 605072 721432 725608 752804 865148 1172327 1358503 1442864 1451216 1505608 1730296 2344654 2717006 2811731 3011216 3258259 3460592 4689308 5434012 5623462 6516518 9378616 10868024 11246924 13033036 17660539 18757232 20296093 21736048 22493848 26066072 35321078 40592186 42113593 42357367 44987696 52132144 70642156 81184372 84227186 84714734 101006029 141284312 162368744 168454372 169429468 202012058 263849209 282568624 324737488 336908744 338858936 404024116 527698418 547476709 629178883 673817488 677717872 808048232 1055396836 1094953418 1258357766 1313078377 1616096464 2110793672 2189906836 2516715532 2626156754 4221587344 4379813672 5033431064 5252313508 8179325479 8759627344 9478275431 10066862128 10504627016 16358650958 18956550862 21009254032 32717301916 37913101724 65434603832 75826203448 123217580603 130869207664 151652406896 246435161206 293826538361 492870322412 587653076722 985740644824 1175306153444 1971481289648 2350612306888 3819744998693 4701224613776 7639489997386 15278979994772 30557959989544 61115919979088