Search a number
-
+
149355969156 = 223241215712
BaseRepresentation
bin1000101100011001001…
…1110011101010000100
3112021111212121100122100
42023012103303222010
54421340112003111
6152340240432100
713535115535212
oct2130623635204
9467455540570
10149355969156
1158383607259
1224b43018630
1311113008414
14732c025cb2
153d422b5756
hex22c64f3a84

149355969156 has 81 divisors (see below), whose sum is σ = 387218031109. Its totient is φ = 48540129600.

The previous prime is 149355969127. The next prime is 149355969163. The reversal of 149355969156 is 651969553941.

The square root of 149355969156 is 386466.

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

149355969156 is a `hidden beast` number, since 1 + 4 + 9 + 3 + 559 + 69 + 15 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7196807556 + 142159161600 = 84834^2 + 377040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 149355969093 and 149355969102.

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, 95069851 + ... + 95071421.

Almost surely, 2149355969156 is an apocalyptic number.

149355969156 is the 386466-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149355969156

149355969156 is an abundant number, since it is smaller than the sum of its proper divisors (237862061953).

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

149355969156 is an equidigital number, since it uses as much as digits as its factorization.

149355969156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 1617 counting only the distinct ones).

The product of its digits is 39366000, while the sum is 63.

The spelling of 149355969156 in words is "one hundred forty-nine billion, three hundred fifty-five million, nine hundred sixty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1571 1681 3142 3362 4713 5043 6284 6724 9426 10086 14139 15129 18852 20172 28278 30258 56556 60516 64411 128822 193233 257644 386466 579699 772932 1159398 2318796 2468041 2640851 4936082 5281702 7404123 7922553 9872164 10563404 14808246 15845106 22212369 23767659 29616492 31690212 44424738 47535318 88849476 95070636 101189681 202379362 303569043 404758724 607138086 910707129 1214276172 1821414258 3642828516 4148776921 8297553842 12446330763 16595107684 24892661526 37338992289 49785323052 74677984578 149355969156