Search a number
-
+
151973666244 = 223243215112
BaseRepresentation
bin1000110110001001010…
…1100001110111000100
3112112021022021010222100
42031202111201313010
54442220224304434
6153452111032100
713660022564151
oct2154225416704
9475238233870
10151973666244
11594a7199884
122555380b630
131143c4364ca
1474d9953228
153e46ede699
hex2362561dc4

151973666244 has 81 divisors (see below), whose sum is σ = 393557734479. Its totient is φ = 49447051920.

The previous prime is 151973666239. The next prime is 151973666297. The reversal of 151973666244 is 442666379151.

It is a happy number.

The square root of 151973666244 is 389838.

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

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 26 ways as a sum of consecutive naturals, for example, 100577449 + ... + 100578959.

Almost surely, 2151973666244 is an apocalyptic number.

151973666244 is the 389838-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151973666244

151973666244 is an abundant number, since it is smaller than the sum of its proper divisors (241584068235).

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

151973666244 is an equidigital number, since it uses as much as digits as its factorization.

151973666244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 1559 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 151973666244 in words is "one hundred fifty-one billion, nine hundred seventy-three million, six hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1511 1548 1849 3022 3698 4533 5547 6044 7396 9066 11094 13599 16641 18132 22188 27198 33282 54396 64973 66564 129946 194919 259892 389838 584757 779676 1169514 2283121 2339028 2793839 4566242 5587678 6849363 8381517 9132484 11175356 13698726 16763034 20548089 25144551 27397452 33526068 41096178 50289102 82192356 98174203 100578204 196348406 294522609 392696812 589045218 883567827 1178090436 1767135654 3534271308 4221490729 8442981458 12664472187 16885962916 25328944374 37993416561 50657888748 75986833122 151973666244