Search a number
-
+
158741331968 = 215312712
BaseRepresentation
bin1001001111010110111…
…0001000000000000000
3120011201221211012001102
42103311232020000000
510100100240110333
6200531425353532
714316521026052
oct2236556100000
9504657735042
10158741331968
116135a38624a
12269221988a8
1311c7a57383b
14797c6b18d2
1541e1213ae8
hex24f5b88000

158741331968 has 144 divisors (see below), whose sum is σ = 332734891815. Its totient is φ = 75728486400.

The previous prime is 158741331941. The next prime is 158741331977. The reversal of 158741331968 is 869133147851.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 79370665984 + 79370665984 = 281728^2 + 281728^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=281728.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2235793373 + ... + 2235793443.

Almost surely, 2158741331968 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 158741331968

158741331968 is an abundant number, since it is smaller than the sum of its proper divisors (173993559847).

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

158741331968 is an frugal number, since it uses more digits than its factorization.

158741331968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 104 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 56.

The spelling of 158741331968 in words is "one hundred fifty-eight billion, seven hundred forty-one million, three hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 71 124 128 142 248 256 284 496 512 568 961 992 1024 1136 1922 1984 2048 2201 2272 3844 3968 4096 4402 4544 5041 7688 7936 8192 8804 9088 10082 15376 15872 16384 17608 18176 20164 30752 31744 32768 35216 36352 40328 61504 63488 68231 70432 72704 80656 123008 126976 136462 140864 145408 156271 161312 246016 253952 272924 281728 290816 312542 322624 492032 507904 545848 563456 581632 625084 645248 984064 1015808 1091696 1126912 1163264 1250168 1290496 1968128 2183392 2253824 2326528 2500336 2580992 3936256 4366784 4507648 4844401 5000672 5161984 7872512 8733568 9015296 9688802 10001344 10323968 15745024 17467136 18030592 19377604 20002688 20647936 31490048 34934272 36061184 38755208 40005376 41295872 69868544 72122368 77510416 80010752 82591744 139737088 155020832 160021504 165183488 279474176 310041664 320043008 558948352 620083328 640086016 1117896704 1240166656 1280172032 2235793408 2480333312 2560344064 4960666624 5120688128 9921333248 19842666496 39685332992 79370665984 158741331968