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55963909890 = 23257223475407
BaseRepresentation
bin110100000111101101…
…010111111100000010
312100110012222011222100
4310013231113330002
51404103230104030
641413124451230
74020560246100
oct640755277402
9170405864870
1055963909890
11218091938a9
12aa1a249b16
13537b5107a5
1429cc826c70
1516c824e360
hexd07b57f02

55963909890 has 144 divisors (see below), whose sum is σ = 169365710592. Its totient is φ = 12783935808.

The previous prime is 55963909877. The next prime is 55963909891. The reversal of 55963909890 is 9890936955.

55963909890 is a `hidden beast` number, since 5 + 596 + 39 + 0 + 9 + 8 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55963909891) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10347567 + ... + 10352973.

It is an arithmetic number, because the mean of its divisors is an integer number (1176150768).

Almost surely, 255963909890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55963909890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84682855296).

55963909890 is an abundant number, since it is smaller than the sum of its proper divisors (113401800702).

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

55963909890 is a wasteful number, since it uses less digits than its factorization.

55963909890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7781 (or 7771 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 55963909890 in words is "fifty-five billion, nine hundred sixty-three million, nine hundred nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 2347 4410 4694 5407 7041 10814 11735 14082 16221 16429 21123 23470 27035 32442 32858 35205 37849 42246 48663 49287 54070 70410 75698 81105 82145 97326 98574 105615 113547 115003 147861 162210 164290 189245 211230 227094 230006 243315 246435 264943 295722 340641 345009 378490 486630 492870 529886 567735 575015 681282 690018 739305 794829 1035027 1135470 1150030 1324715 1478610 1589658 1703205 1725045 2070054 2384487 2649430 3406410 3450090 3974145 4768974 5175135 7948290 10350270 11922435 12690229 23844870 25380458 38070687 63451145 76141374 88831603 114212061 126902290 177663206 190353435 228424122 266494809 380706870 444158015 532989618 571060305 621821221 799484427 888316030 1142120610 1243642442 1332474045 1598968854 1865463663 2664948090 3109106105 3730927326 3997422135 5596390989 6218212210 7994844270 9327318315 11192781978 18654636630 27981954945 55963909890