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58924040168 = 2372192416389
BaseRepresentation
bin110110111000001001…
…010111111111101000
312122002111222101100002
4312320021113333220
51431134023241133
643022550402132
74154123035400
oct667011277750
9178074871302
1058924040168
1122a980a2564
12b505660348
135730875876
142bcda11800
1517ed069ce8
hexdb8257fe8

58924040168 has 72 divisors (see below), whose sum is σ = 135641124450. Its totient is φ = 23923988928.

The previous prime is 58924040167. The next prime is 58924040207. The reversal of 58924040168 is 86104042985.

It can be written as a sum of positive squares in only one way, i.e., 35367315844 + 23556724324 = 188062^2 + 153482^2 .

It is not an unprimeable number, because it can be changed into a prime (58924040167) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 66683 + ... + 349706.

Almost surely, 258924040168 is an apocalyptic number.

It is an amenable number.

58924040168 is an abundant number, since it is smaller than the sum of its proper divisors (76717084282).

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

58924040168 is a wasteful number, since it uses less digits than its factorization.

58924040168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416447 (or 416417 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 47.

The spelling of 58924040168 in words is "fifty-eight billion, nine hundred twenty-four million, forty thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 49 56 76 98 133 152 196 266 361 392 532 722 931 1064 1444 1862 2527 2888 3724 5054 7448 10108 17689 20216 35378 70756 141512 416389 832778 1665556 2914723 3331112 5829446 7911391 11658892 15822782 20403061 23317784 31645564 40806122 55379737 63291128 81612244 110759474 150316429 163224488 221518948 300632858 387658159 443037896 601265716 775316318 1052215003 1202531432 1550632636 2104430006 3101265272 4208860012 7365505021 8417720024 14731010042 29462020084 58924040168