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149378385025 = 5217245472
BaseRepresentation
bin1000101100011110100…
…1010100010010000001
3112021120102210012102201
42023013221110102001
54421411331310100
6152342401113201
713535510215462
oct2130751242201
9467512705381
10149378385025
1158395227671
1224b4a628801
131111785634c
147330dbcd69
153d4424236a
hex22c7a54481

149378385025 has 27 divisors (see below), whose sum is σ = 196809247369. Its totient is φ = 112448401280.

The previous prime is 149378384983. The next prime is 149378385041. The reversal of 149378385025 is 520583873941.

The square root of 149378385025 is 386495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3494110321 + 145884274704 = 59111^2 + 381948^2 .

It is not a de Polignac number, because 149378385025 - 29 = 149378384513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32849802 + ... + 32854348.

Almost surely, 2149378385025 is an apocalyptic number.

149378385025 is the 386495-th square number.

149378385025 is the 193248-th centered octagonal number.

It is an amenable number.

149378385025 is a deficient number, since it is larger than the sum of its proper divisors (47430862344).

149378385025 is an frugal number, since it uses more digits than its factorization.

149378385025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9138 (or 4569 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 55.

The spelling of 149378385025 in words is "one hundred forty-nine billion, three hundred seventy-eight million, three hundred eighty-five thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 4547 7225 22735 77299 113675 386495 1314083 1932475 6570415 20675209 32852075 103376045 351478553 516880225 1757392765 5975135401 8786963825 29875677005 149378385025