Search a number
-
+
749325652128 = 25322601825181
BaseRepresentation
bin10101110011101110100…
…10100001000010100000
32122122010210102010222200
422321313102201002200
544234104331332003
61332122505133200
7105064662644334
oct12716722410240
92578123363880
10749325652128
11269872883159
1210128378a200
13558795ac551
14283a62577c4
15147596456a3
hexae774a10a0

749325652128 has 36 divisors (see below), whose sum is σ = 2130894824058. Its totient is φ = 249775217280.

The previous prime is 749325652109. The next prime is 749325652177. The reversal of 749325652128 is 821256523947.

749325652128 is a `hidden beast` number, since 7 + 4 + 9 + 32 + 565 + 21 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 440380886544 + 308944765584 = 663612^2 + 555828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×7493256521282 (a number of 25 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 1300912303 + ... + 1300912878.

Almost surely, 2749325652128 is an apocalyptic number.

It is an amenable number.

749325652128 is an abundant number, since it is smaller than the sum of its proper divisors (1381569171930).

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

749325652128 is a wasteful number, since it uses less digits than its factorization.

749325652128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601825197 (or 2601825186 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 749325652128 in words is "seven hundred forty-nine billion, three hundred twenty-five million, six hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2601825181 5203650362 7805475543 10407300724 15610951086 20814601448 23416426629 31221902172 41629202896 46832853258 62443804344 83258405792 93665706516 124887608688 187331413032 249775217376 374662826064 749325652128