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149464972449 = 321322324312
BaseRepresentation
bin1000101100110011001…
…1100111110010100001
3112021210110201022001100
42023030303213302201
54422101013104244
6152355133025013
713540611206112
oct2131463476241
9467713638040
10149464972449
115842a098021
1224b73625169
131112c781c00
14733c6bc209
153d4bb47b69
hex22ccce7ca1

149464972449 has 81 divisors (see below), whose sum is σ = 244953090291. Its totient is φ = 87775253280.

The previous prime is 149464972441. The next prime is 149464972463. The reversal of 149464972449 is 944279464941.

The square root of 149464972449 is 386607.

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

149464972449 is a `hidden beast` number, since 1 + 49 + 4 + 64 + 97 + 2 + 449 = 666.

149464972449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 22110203025 + 127354769424 = 148695^2 + 356868^2 .

It is not a de Polignac number, because 149464972449 - 23 = 149464972441 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (149464972441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 346786264 + ... + 346786694.

Almost surely, 2149464972449 is an apocalyptic number.

149464972449 is the 386607-th square number.

149464972449 is the 193304-th centered octagonal number.

It is an amenable number.

149464972449 is a deficient number, since it is larger than the sum of its proper divisors (95488117842).

149464972449 is an equidigital number, since it uses as much as digits as its factorization.

149464972449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 149464972449 in words is "one hundred forty-nine billion, four hundred sixty-four million, nine hundred seventy-two thousand, four hundred forty-nine".

Divisors: 1 3 9 13 23 39 69 117 169 207 299 431 507 529 897 1293 1521 1587 2691 3879 3887 4761 5603 6877 9913 11661 16809 20631 29739 34983 50427 61893 72839 89217 89401 128869 185761 218517 227999 268203 386607 557283 655551 683997 804609 1159821 1671849 1675297 2051991 2414893 2963987 4272503 5025891 7244679 8891961 12817509 15077673 21734037 26675883 31393609 38452527 38531831 55542539 94180827 98267569 115595493 166627617 282542481 294802707 346786479 499882851 722053007 884408121 1277478397 2166159021 3832435191 6498477063 11497305573 16607219161 49821657483 149464972449