Search a number
-
+
150056033723136 = 2832135893479263
BaseRepresentation
bin100010000111100110100100…
…100101100010001100000000
3201200022012211222210212011200
4202013212210211202030000
5124132004224113120021
61251050442405141200
743415122254430602
oct4207464445421400
9650265758725150
10150056033723136
11438a34520a1862
12149b5a460ba800
1365962b96811c8
14290aa72217172
15125347d86e126
hex8879a4962300

150056033723136 has 108 divisors (see below), whose sum is σ = 432652624692288. Its totient is φ = 50018205468672.

The previous prime is 150056033723117. The next prime is 150056033723147. The reversal of 150056033723136 is 631327330650051.

150056033723136 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 5 + 603 + 3 + 7 + 2 + 3 + 1 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 150056033723091 and 150056033723100.

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 11 ways as a sum of consecutive naturals, for example, 312857841 + ... + 313337103.

Almost surely, 2150056033723136 is an apocalyptic number.

150056033723136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

150056033723136 is an abundant number, since it is smaller than the sum of its proper divisors (282596590969152).

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

150056033723136 is a wasteful number, since it uses less digits than its factorization.

150056033723136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615178 (or 615161 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 150056033723136 in words is "one hundred fifty trillion, fifty-six billion, thirty-three million, seven hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 135893 271786 407679 479263 543572 815358 958526 1087144 1223037 1437789 1630716 1917052 2174288 2446074 2875578 3261432 3834104 4313367 4348576 4892148 5751156 6522864 7668208 8626734 8697152 9784296 11502312 13045728 15336416 17253468 17394304 19568592 23004624 26091456 30672832 34506936 34788608 39137184 46009248 52182912 61345664 69013872 78274368 92018496 104365824 122691328 138027744 156548736 184036992 276055488 313097472 368073984 552110976 1104221952 65128486859 130256973718 195385460577 260513947436 390770921154 521027894872 586156381731 781541842308 1042055789744 1172312763462 1563083684616 2084111579488 2344625526924 3126167369232 4168223158976 4689251053848 6252334738464 8336446317952 9378502107696 12504669476928 16672892635904 18757004215392 25009338953856 37514008430784 50018677907712 75028016861568 150056033723136