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64292048145 = 325131733119531
BaseRepresentation
bin111011111000000110…
…101100110100010001
320010221121211102221100
4323320012230310101
52023132231020040
645311345415013
74434134251413
oct737006546421
9203847742840
1064292048145
11252a2204396
121056333a469
1360a7a24150
14317c90a9b3
151a14465b30
hexef81acd11

64292048145 has 96 divisors (see below), whose sum is σ = 127461769344. Its totient is φ = 29698099200.

The previous prime is 64292048131. The next prime is 64292048221. The reversal of 64292048145 is 54184029246.

It is a happy number.

64292048145 is a `hidden beast` number, since 6 + 42 + 92 + 0 + 481 + 45 = 666.

64292048145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 64292048145 - 218 = 64291786001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 64292048145.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3282030 + ... + 3301560.

It is an arithmetic number, because the mean of its divisors is an integer number (1327726764).

Almost surely, 264292048145 is an apocalyptic number.

64292048145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

64292048145 is a deficient number, since it is larger than the sum of its proper divisors (63169721199).

64292048145 is a wasteful number, since it uses less digits than its factorization.

64292048145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19903 (or 19900 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 64292048145 in words is "sixty-four billion, two hundred ninety-two million, forty-eight thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 17 39 45 51 65 85 117 153 195 221 255 331 585 663 765 993 1105 1655 1989 2979 3315 4303 4965 5627 9945 12909 14895 16881 19531 21515 28135 38727 50643 58593 64545 73151 84405 97655 175779 193635 219453 253215 253903 292965 332027 365755 658359 761709 878895 996081 1097265 1269515 1660135 2285127 2988243 3291795 3808545 4316351 4980405 6464761 11425635 12949053 14941215 19394283 21581755 32323805 38847159 58182849 64745265 84041893 96971415 109900937 194235795 252125679 290914245 329702811 420209465 549504685 756377037 989108433 1260628395 1428712181 1648514055 3781885185 4286136543 4945542165 7143560905 12858409629 21430682715 64292048145