Search a number
-
+
158375345296 = 24726122332
BaseRepresentation
bin1001001101111111100…
…1111111110010010000
3120010210110011010201111
42103133321333302100
510043323042022141
6200431233143104
714304455136400
oct2233771776220
9503713133644
10158375345296
1161191832023
122683b6baa94
1311c1c7b0b8c
147945c42800
1541be01d381
hex24dfe7fc90

158375345296 has 135 divisors (see below), whose sum is σ = 364462319403. Its totient is φ = 66475906560.

The previous prime is 158375345281. The next prime is 158375345309. The reversal of 158375345296 is 692543573851.

The square root of 158375345296 is 397964.

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

It can be written as a sum of positive squares in 4 ways, for example, as 100552410000 + 57822935296 = 317100^2 + 240464^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 158375345296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 679722396 + ... + 679722628.

Almost surely, 2158375345296 is an apocalyptic number.

158375345296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

158375345296 is the 397964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 158375345296

158375345296 is an abundant number, since it is smaller than the sum of its proper divisors (206086974107).

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

158375345296 is an frugal number, since it uses more digits than its factorization.

158375345296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its digits is 27216000, while the sum is 58.

The spelling of 158375345296 in words is "one hundred fifty-eight billion, three hundred seventy-five million, three hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 233 244 392 427 466 488 784 854 932 976 1631 1708 1864 2989 3262 3416 3721 3728 5978 6524 6832 7442 11417 11956 13048 14213 14884 22834 23912 26047 26096 28426 29768 45668 47824 52094 54289 56852 59536 91336 99491 104188 108578 113704 182329 182672 198982 208376 217156 227408 364658 380023 397964 416752 434312 696437 729316 760046 795928 866993 868624 1392874 1458632 1520092 1591856 1733986 2660161 2785748 2917264 3040184 3311629 3467972 5320322 5571496 6068951 6080368 6623258 6935944 10640644 11142992 12137902 13246516 13871888 21281288 23181403 24275804 26493032 42482657 42562576 46362806 48551608 52986064 84965314 92725612 97103216 162269821 169930628 185451224 202009369 324539642 339861256 370902448 404018738 649079284 679722512 808037476 1298158568 1414065583 1616074952 2596317136 2828131166 3232149904 5656262332 9898459081 11312524664 19796918162 22625049328 39593836324 79187672648 158375345296