Search a number
-
+
158359427136 = 263455272
BaseRepresentation
bin1001001101111011110…
…1010001100001000000
3120010202100012102010000
42103132331101201000
510043310003132021
6200425504040000
714304202630641
oct2233675214100
9503670172100
10158359427136
116118384a519
1226836303000
1311c193c9651
147943a9b6c8
1541bc926b26
hex24def51840

158359427136 has 105 divisors (see below), whose sum is σ = 469511900319. Its totient is φ = 52776925056.

The previous prime is 158359427131. The next prime is 158359427143. The reversal of 158359427136 is 631724953851.

It is a happy number.

The square root of 158359427136 is 397944.

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

158359427136 is a `hidden beast` number, since 1 + 5 + 83 + 5 + 9 + 427 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (158359427131) by changing a digit.

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 14 ways as a sum of consecutive naturals, for example, 28649205 + ... + 28654731.

Almost surely, 2158359427136 is an apocalyptic number.

158359427136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

158359427136 is the 397944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158359427136

158359427136 is an abundant number, since it is smaller than the sum of its proper divisors (311152473183).

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

158359427136 is an frugal number, since it uses more digits than its factorization.

158359427136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 5532 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 158359427136 in words is "one hundred fifty-eight billion, three hundred fifty-nine million, four hundred twenty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5527 11054 16581 22108 33162 44216 49743 66324 88432 99486 132648 149229 176864 198972 265296 298458 353728 397944 447687 530592 596916 795888 895374 1061184 1193832 1591776 1790748 2387664 3183552 3581496 4775328 7162992 9550656 14325984 28651968 30547729 61095458 91643187 122190916 183286374 244381832 274929561 366572748 488763664 549859122 733145496 824788683 977527328 1099718244 1466290992 1649577366 1955054656 2199436488 2474366049 2932581984 3299154732 4398872976 4948732098 5865163968 6598309464 8797745952 9897464196 13196618928 17595491904 19794928392 26393237856 39589856784 52786475712 79179713568 158359427136