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45304260741 = 352328328643
BaseRepresentation
bin101010001100010110…
…000010100010000101
311022221022221220100000
4222030112002202011
51220240342320431
632451255311513
73162452601555
oct521426024205
9138838856300
1045304260741
111823908a703
12894437b599
13436cc7139c
14229ac31165
1512a24de9e6
hexa8c582885

45304260741 has 48 divisors (see below), whose sum is σ = 71066451456. Its totient is φ = 28786584816.

The previous prime is 45304260719. The next prime is 45304260803. The reversal of 45304260741 is 14706240354.

45304260741 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 4 + 2 + 607 + 41 = 666.

It is not a de Polignac number, because 45304260741 - 29 = 45304260229 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 45304260696 and 45304260705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45304260541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1567366 + ... + 1596008.

It is an arithmetic number, because the mean of its divisors is an integer number (1480551072).

Almost surely, 245304260741 is an apocalyptic number.

It is an amenable number.

45304260741 is a deficient number, since it is larger than the sum of its proper divisors (25762190715).

45304260741 is a wasteful number, since it uses less digits than its factorization.

45304260741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28964 (or 28952 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 45304260741 in words is "forty-five billion, three hundred four million, two hundred sixty thousand, seven hundred forty-one".

Divisors: 1 3 9 23 27 69 81 207 243 283 621 849 1863 2547 5589 6509 7641 19527 22923 28643 58581 68769 85929 175743 257787 527229 658789 773361 1581687 1976367 2320083 5929101 6960249 8105969 17787303 24317907 53361909 72953721 160085727 186437287 218861163 559311861 656583489 1677935583 1969750467 5033806749 15101420247 45304260741