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64056046131 = 3371121927759
BaseRepresentation
bin111011101010000010…
…011011001000110011
320010100011202022001000
4323222002123020303
52022141321434011
645232115213043
74425240260040
oct735202331063
9203304668030
1064056046131
1125190a71600
12104b82a7183
13606ab72c9c
1431594361c7
1519ed899356
hexeea09b233

64056046131 has 144 divisors (see below), whose sum is σ = 125831193600. Its totient is φ = 31520443680.

The previous prime is 64056046049. The next prime is 64056046151. The reversal of 64056046131 is 13164065046.

It is a happy number.

64056046131 is a `hidden beast` number, since 6 + 4 + 0 + 560 + 4 + 61 + 31 = 666.

64056046131 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 64056046131 - 27 = 64056046003 is a prime.

It is a super-2 number, since 2×640560461312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64056046151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8251830 + ... + 8259588.

Almost surely, 264056046131 is an apocalyptic number.

64056046131 is a deficient number, since it is larger than the sum of its proper divisors (61775147469).

64056046131 is a wasteful number, since it uses less digits than its factorization.

64056046131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7835 (or 7799 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 64056046131 in words is "sixty-four billion, fifty-six million, forty-six thousand, one hundred thirty-one".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 121 133 171 189 209 231 297 361 363 399 513 627 693 847 1083 1089 1197 1463 1881 2079 2299 2527 2541 3249 3267 3591 3971 4389 5643 6897 7581 7623 7759 9747 11913 13167 16093 20691 22743 22869 23277 27797 35739 39501 43681 48279 54313 62073 68229 69831 83391 85349 107217 131043 144837 147421 162939 209493 250173 256047 305767 393129 434511 442263 488817 597443 750519 768141 917301 938839 1031947 1179387 1326789 1466451 1621631 1792329 2304423 2751903 2800999 2816517 3095841 3980367 4864893 5376987 6571873 8255709 8402997 8449551 9287523 11351417 14594679 16130961 17837941 19606993 19715619 25208991 25348653 27862569 30810989 34054251 43784037 53513823 58820979 59146857 75626973 92432967 102162753 124865587 160541469 176462937 177440571 215676923 277298901 306488259 338920879 374596761 481624407 529388811 647030769 831896703 1016762637 1123790283 1941092307 2372446153 3050287911 3371370849 5823276921 7117338459 9150863733 21352015377 64056046131