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158931456667204 = 22132457210612
BaseRepresentation
bin100100001000110000011101…
…000001001010111001000100
3202211201200212110220112122111
4210020300131001022321010
5131312413110401322304
61322004034145110404
745322263440621314
oct4410603501127104
9684650773815574
10158931456667204
11467054a7a54a11
12159a9b93328404
136a8b231010a00
142b36475b4d444
15135928a335704
hex908c1d04ae44

158931456667204 has 81 divisors (see below), whose sum is σ = 302115612377061. Its totient is φ = 73123485776640.

The previous prime is 158931456667171. The next prime is 158931456667231. The reversal of 158931456667204 is 402766654139851.

The square root of 158931456667204 is 12606802.

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

It can be written as a sum of positive squares in 13 ways, for example, as 51522277121604 + 107409179545600 = 7177902^2 + 10363840^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 158931456667204.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 149794020834 + ... + 149794021894.

It is a 1-persistent number, because it is pandigital, but 2⋅158931456667204 = 317862913334408 is not.

Almost surely, 2158931456667204 is an apocalyptic number.

158931456667204 is the 12606802-nd square number.

It is an amenable number.

158931456667204 is a deficient number, since it is larger than the sum of its proper divisors (143184155709857).

158931456667204 is an frugal number, since it uses more digits than its factorization.

158931456667204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3066 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 158931456667204 in words is "one hundred fifty-eight trillion, nine hundred thirty-one billion, four hundred fifty-six million, six hundred sixty-seven thousand, two hundred four".

Divisors: 1 2 4 13 26 52 169 338 457 676 914 1061 1828 2122 4244 5941 11882 13793 23764 27586 55172 77233 154466 179309 208849 308932 358618 417698 484877 717236 835396 969754 1125721 1939508 2251442 2715037 4502884 5430074 6303401 10860148 12606802 14634373 25213604 29268746 35295481 58537492 70590962 81944213 141181924 163888426 190246849 221588789 327776852 380493698 443177578 514454497 760987396 886355156 1028908994 2057817988 2880654257 5761308514 6687908461 11522617028 13375816922 26751633844 37448505341 74897010682 86942809993 149794021364 173885619986 235105705129 347771239972 470211410258 940422820516 3056374166677 6112748333354 12225496666708 39732864166801 79465728333602 158931456667204