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150072153155236 = 22132312151992
BaseRepresentation
bin100010000111110101100101…
…011000010010011010100100
3201200100202110101100212000101
4202013311211120102122210
5124132240232201431421
61251102110112353444
743416232566355504
oct4207654530223244
9650322411325011
10150072153155236
11438aa2740a0774
12149b8ba4545884
1365979880c2a00
14290b760d97a04
151253ac3aa7191
hex887d656126a4

150072153155236 has 81 divisors (see below), whose sum is σ = 293871170690433. Its totient is φ = 67025335684320.

The previous prime is 150072153155219. The next prime is 150072153155237. The reversal of 150072153155236 is 632551351270051.

The square root of 150072153155236 is 12250394.

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

It can be written as a sum of positive squares in only one way, i.e., 22200022656100 + 127872130499136 = 4711690^2 + 11308056^2 .

It is a super-2 number, since 2×1500721531552362 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (150072153155237) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9873809965 + ... + 9873825163.

Almost surely, 2150072153155236 is an apocalyptic number.

150072153155236 is the 12250394-th square number.

It is an amenable number.

150072153155236 is a deficient number, since it is larger than the sum of its proper divisors (143799017535197).

150072153155236 is an frugal number, since it uses more digits than its factorization.

150072153155236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30490 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 150072153155236 in words is "one hundred fifty trillion, seventy-two billion, one hundred fifty-three million, one hundred fifty-five thousand, two hundred thirty-six".

Divisors: 1 2 4 13 26 31 52 62 124 169 338 403 676 806 961 1612 1922 3844 5239 10478 12493 15199 20956 24986 30398 49972 60796 162409 197587 324818 395174 471169 649636 790348 942338 1884676 2568631 5137262 6125197 10274524 12250394 14606239 24500788 29212478 58424956 79627561 159255122 189881107 231009601 318510244 379762214 462019202 759524428 924038404 2468454391 3003124813 4936908782 6006249626 7161297631 9873817564 12012499252 14322595262 28645190524 39040622569 78081245138 93096869203 156162490276 186193738406 222000226561 372387476812 444000453122 888000906244 1210259299639 2420518599278 2886002945293 4841037198556 5772005890586 11544011781172 37518038288809 75036076577618 150072153155236