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741642561 = 35111719859
BaseRepresentation
bin101100001101001…
…001000101000001
31220200112100100000
4230031021011001
53004330030221
6201331550213
724243600132
oct5415110501
91820470300
10741642561
11350702040
1218845b369
13ba85c76a
14706d7c89
154519ae26
hex2c349141

741642561 has 96 divisors (see below), whose sum is σ = 1352332800. Its totient is φ = 400308480.

The previous prime is 741642547. The next prime is 741642593. The reversal of 741642561 is 165246147.

741642561 is a `hidden beast` number, since 7 + 4 + 1 + 642 + 5 + 6 + 1 = 666.

It is not a de Polignac number, because 741642561 - 25 = 741642529 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (741642511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862950 + ... + 863808.

It is an arithmetic number, because the mean of its divisors is an integer number (14086800).

Almost surely, 2741642561 is an apocalyptic number.

It is an amenable number.

741642561 is a deficient number, since it is larger than the sum of its proper divisors (610690239).

741642561 is a wasteful number, since it uses less digits than its factorization.

741642561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 741642561 is about 27233.1151541648. The cubic root of 741642561 is about 905.1729108071.

The spelling of 741642561 in words is "seven hundred forty-one million, six hundred forty-two thousand, five hundred sixty-one".

Divisors: 1 3 9 11 17 19 27 33 51 57 81 99 153 171 187 209 243 297 323 459 513 561 627 859 891 969 1377 1539 1683 1881 2577 2673 2907 3553 4131 4617 5049 5643 7731 8721 9449 10659 14603 15147 16321 16929 23193 26163 28347 31977 43809 45441 48963 50787 69579 78489 85041 95931 131427 146889 160633 179531 208737 255123 277457 287793 394281 440667 481899 538593 765369 832371 863379 1182843 1322001 1445697 1615779 2296107 2497113 3052027 3548529 3966003 4337091 4847337 7491339 9156081 13011273 14542011 22474017 27468243 39033819 43626033 67422051 82404729 247214187 741642561