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61010295631656 = 23374121149418813
BaseRepresentation
bin11011101111101000100001…
…11111111010111100101000
322000000112020101212012222020
431313310100333322330220
530444043041140203111
6333431424244024440
715564564000213330
oct1567642077727450
9260015211765866
1061010295631656
1118492359392498
126a14254692120
132807327b62b67
14110ccb229a0c0
1570c040121906
hex377d10ffaf28

61010295631656 has 128 divisors (see below), whose sum is σ = 178575588576000. Its totient is φ = 17005509457920.

The previous prime is 61010295631573. The next prime is 61010295631657. The reversal of 61010295631656 is 65613659201016.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 61010295631599 and 61010295631608.

It is not an unprimeable number, because it can be changed into a prime (61010295631657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145464906 + ... + 145883718.

It is an arithmetic number, because the mean of its divisors is an integer number (1395121785750).

Almost surely, 261010295631656 is an apocalyptic number.

It is an amenable number.

61010295631656 is an abundant number, since it is smaller than the sum of its proper divisors (117565292944344).

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

61010295631656 is a wasteful number, since it uses less digits than its factorization.

61010295631656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440019 (or 440015 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The spelling of 61010295631656 in words is "sixty-one trillion, ten billion, two hundred ninety-five million, six hundred thirty-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 21149 42298 63447 84596 126894 148043 169192 253788 296086 418813 444129 507576 592172 837626 867109 888258 1184344 1256439 1675252 1734218 1776516 2512878 2601327 2931691 3350504 3468436 3553032 5025756 5202654 5863382 6069763 6936872 8795073 10051512 10405308 11726764 12139526 17171333 17590146 18209289 20810616 23453528 24279052 34342666 35180292 36418578 48558104 51513999 68685332 70360584 72837156 103027998 120199331 137370664 145674312 206055996 240398662 360597993 412111992 480797324 721195986 961594648 1442391972 2884783944 8857476137 17714952274 26572428411 35429904548 53144856822 62002332959 70859809096 106289713644 124004665918 186006998877 212579427288 248009331836 363156521617 372013997754 496018663672 726313043234 744027995508 1089469564851 1452626086468 1488055991016 2178939129702 2542095651319 2905252172936 4357878259404 5084191302638 7626286953957 8715756518808 10168382605276 15252573907914 20336765210552 30505147815828 61010295631656