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158689096164 = 223824592
BaseRepresentation
bin1001001111001010011…
…0110111000111100100
3120011121022112100000000
42103302212313013210
510044443402034124
6200522322021300
714315315030064
oct2236246670744
9504538470000
10158689096164
1161332948765
12269087a7830
1311c6c7b4891
1479757953a4
1541db8466c9
hex24f29b71e4

158689096164 has 81 divisors (see below), whose sum is σ = 416707176067. Its totient is φ = 52874854056.

The previous prime is 158689096157. The next prime is 158689096187. The reversal of 158689096164 is 461690986851.

The square root of 158689096164 is 398358.

It is a perfect power (a square), and thus also a powerful number.

158689096164 is a `hidden beast` number, since 1 + 5 + 8 + 6 + 8 + 9 + 0 + 9 + 616 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64532767 + ... + 64535225.

Almost surely, 2158689096164 is an apocalyptic number.

158689096164 is the 398358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158689096164

158689096164 is an abundant number, since it is smaller than the sum of its proper divisors (258018079903).

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

158689096164 is an frugal number, since it uses more digits than its factorization.

158689096164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4946 (or 2464 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 158689096164 in words is "one hundred fifty-eight billion, six hundred eighty-nine million, ninety-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2459 2916 4374 4918 6561 7377 8748 9836 13122 14754 22131 26244 29508 44262 66393 88524 132786 199179 265572 398358 597537 796716 1195074 1792611 2390148 3585222 5377833 6046681 7170444 10755666 12093362 16133499 18140043 21511332 24186724 32266998 36280086 54420129 64533996 72560172 108840258 163260387 217680516 326520774 489781161 653041548 979562322 1469343483 1959124644 2938686966 4408030449 5877373932 8816060898 13224091347 17632121796 26448182694 39672274041 52896365388 79344548082 158689096164