Search a number
-
+
150606243342656 = 2661731245142443
BaseRepresentation
bin100010001111100110111111…
…101000101010100101000000
3201202020211001001021111221222
4202033212333220222211000
5124220013041243431111
61252151315242534212
743502641052143523
oct4217467750524500
9652224031244858
10150606243342656
1143a95827085582
1214a845ba207368
136606152b135ca
142929549934bba
1512629324517db
hex88f9bfa2a940

150606243342656 has 112 divisors (see below), whose sum is σ = 307951658993088. Its totient is φ = 73046416896000.

The previous prime is 150606243342631. The next prime is 150606243342917. The reversal of 150606243342656 is 656243342606051.

It is a junction number, because it is equal to n+sod(n) for n = 150606243342598 and 150606243342607.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3548414171 + ... + 3548456613.

Almost surely, 2150606243342656 is an apocalyptic number.

150606243342656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150606243342656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153975829496544).

150606243342656 is an abundant number, since it is smaller than the sum of its proper divisors (157345415650432).

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

150606243342656 is a wasteful number, since it uses less digits than its factorization.

150606243342656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55040 (or 55030 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 53.

The spelling of 150606243342656 in words is "one hundred fifty trillion, six hundred six billion, two hundred forty-three million, three hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 61 64 73 122 146 244 292 488 584 976 1168 1952 2336 3904 4453 4672 8906 12451 17812 24902 35624 42443 49804 71248 84886 99608 142496 169772 199216 284992 339544 398432 679088 759511 796864 908923 1358176 1519022 1817846 2589023 2716352 3038044 3098339 3635692 5178046 6076088 6196678 7271384 10356092 12152176 12393356 14542768 20712184 24304352 24786712 29085536 41424368 48608704 49573424 55444303 58171072 82848736 99146848 110888606 165697472 188998679 198293696 221777212 377997358 443554424 528457793 755994716 887108848 1056915586 1511989432 1774217696 2113831172 3023978864 3548435392 4227662344 6047957728 8455324688 12095915456 16910649376 32235925373 33821298752 38577418889 64471850746 77154837778 128943701492 154309675556 257887402984 308619351112 515774805968 617238702224 1031549611936 1234477404448 2063099223872 2353222552229 2468954808896 4706445104458 9412890208916 18825780417832 37651560835664 75303121671328 150606243342656