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53194546152 = 23341114815039
BaseRepresentation
bin110001100010101001…
…000101101111101000
312002022012220221010000
4301202221011233220
51332420300434102
640234235423000
73562132116246
oct614251055750
9162265827100
1053194546152
1120617a30940
12a3868b4a60
13502984c017
142808ad9796
1515b506701c
hexc62a45be8

53194546152 has 160 divisors (see below), whose sum is σ = 162680918400. Its totient is φ = 16105478400.

The previous prime is 53194546121. The next prime is 53194546157. The reversal of 53194546152 is 25164549135.

It is a happy number.

53194546152 is a `hidden beast` number, since 5 + 3 + 1 + 94 + 546 + 15 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 53194546098 and 53194546107.

It is not an unprimeable number, because it can be changed into a prime (53194546157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10554049 + ... + 10559087.

It is an arithmetic number, because the mean of its divisors is an integer number (1016755740).

Almost surely, 253194546152 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 53194546152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81340459200).

53194546152 is an abundant number, since it is smaller than the sum of its proper divisors (109486372248).

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

53194546152 is a wasteful number, since it uses less digits than its factorization.

53194546152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6549 (or 6536 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The spelling of 53194546152 in words is "fifty-three billion, one hundred ninety-four million, five hundred forty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 792 891 1188 1481 1782 2376 2962 3564 4443 5039 5924 7128 8886 10078 11848 13329 15117 16291 17772 20156 26658 30234 32582 35544 39987 40312 45351 48873 53316 55429 60468 65164 79974 90702 97746 106632 110858 119961 120936 130328 136053 146619 159948 166287 181404 195492 221716 239922 272106 293238 319896 332574 362808 390984 408159 439857 443432 479844 498861 544212 586476 665148 816318 879714 959688 997722 1088424 1172952 1319571 1330296 1496583 1632636 1759428 1995444 2639142 2993166 3265272 3518856 3990888 4489749 5278284 5986332 7462759 8979498 10556568 11972664 14925518 17958996 22388277 29851036 35917992 44776554 59702072 67164831 82090349 89553108 134329662 164180698 179106216 201494493 246271047 268659324 328361396 402988986 492542094 537318648 604483479 656722792 738813141 805977972 985084188 1208966958 1477626282 1611955944 1970168376 2216439423 2417933916 2955252564 4432878846 4835867832 5910505128 6649318269 8865757692 13298636538 17731515384 26597273076 53194546152