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56335095216 = 24333110340841
BaseRepresentation
bin110100011101110101…
…010101010110110000
312101102002102100112000
4310131311111112300
51410333241021331
641514024334000
74033015260051
oct643565252660
9171362370460
1056335095216
1121989768934
12ab02614300
13540a3a378a
142a25c4a728
1516eab200e6
hexd1dd555b0

56335095216 has 160 divisors (see below), whose sum is σ = 168543498240. Its totient is φ = 17995737600.

The previous prime is 56335095121. The next prime is 56335095259. The reversal of 56335095216 is 61259053365.

56335095216 is a `hidden beast` number, since 5 + 633 + 5 + 0 + 9 + 5 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1358956 + ... + 1399796.

It is an arithmetic number, because the mean of its divisors is an integer number (1053396864).

Almost surely, 256335095216 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 56335095216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84271749120).

56335095216 is an abundant number, since it is smaller than the sum of its proper divisors (112208403024).

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

56335095216 is a wasteful number, since it uses less digits than its factorization.

56335095216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40992 (or 40980 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 45.

The spelling of 56335095216 in words is "fifty-six billion, three hundred thirty-five million, ninety-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 103 108 124 144 186 206 216 248 279 309 372 412 432 496 558 618 744 824 837 927 1116 1236 1488 1648 1674 1854 2232 2472 2781 3193 3348 3708 4464 4944 5562 6386 6696 7416 9579 11124 12772 13392 14832 19158 22248 25544 28737 38316 40841 44496 51088 57474 76632 81682 86211 114948 122523 153264 163364 172422 229896 245046 326728 344844 367569 459792 490092 653456 689688 735138 980184 1102707 1266071 1379376 1470276 1960368 2205414 2532142 2940552 3798213 4206623 4410828 5064284 5881104 7596426 8413246 8821656 10128568 11394639 12619869 15192852 16826492 17643312 20257136 22789278 25239738 30385704 33652984 34183917 37859607 45578556 50479476 60771408 67305968 68367834 75719214 91157112 100958952 113578821 130405313 136735668 151438428 182314224 201917904 227157642 260810626 273471336 302876856 391215939 454315284 521621252 546942672 605753712 782431878 908630568 1043242504 1173647817 1564863756 1817261136 2086485008 2347295634 3129727512 3520943451 4694591268 6259455024 7041886902 9389182536 14083773804 18778365072 28167547608 56335095216