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61887985731 = 321113237257389
BaseRepresentation
bin111001101000110011…
…111011100001000011
312220202002011102021200
4321220303323201003
52003221311020411
644233030152243
74320433125165
oct715063734103
9186662142250
1061887985731
1124279177750
12bbb21b2683
135ab3945400
142dd1510935
15192338ae56
hexe68cfb843

61887985731 has 144 divisors (see below), whose sum is σ = 109154990880. Its totient is φ = 33469562880.

The previous prime is 61887985711. The next prime is 61887985781. The reversal of 61887985731 is 13758978816.

61887985731 is a `hidden beast` number, since 618 + 8 + 7 + 9 + 8 + 5 + 7 + 3 + 1 = 666.

It is not a de Polignac number, because 61887985731 - 27 = 61887985603 is a prime.

It is a super-2 number, since 2×618879857312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61887985711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 159094885 + ... + 159095273.

It is an arithmetic number, because the mean of its divisors is an integer number (758020770).

Almost surely, 261887985731 is an apocalyptic number.

61887985731 is a deficient number, since it is larger than the sum of its proper divisors (47267005149).

61887985731 is a wasteful number, since it uses less digits than its factorization.

61887985731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 710 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 61887985731 in words is "sixty-one billion, eight hundred eighty-seven million, nine hundred eighty-five thousand, seven hundred thirty-one".

Divisors: 1 3 9 11 13 33 37 39 99 111 117 143 169 257 333 389 407 429 481 507 771 1167 1221 1287 1443 1521 1859 2313 2827 3341 3501 3663 4279 4329 5057 5291 5577 6253 8481 9509 10023 12837 14393 15171 15873 16731 18759 25443 28527 30069 36751 38511 43179 43433 45513 47619 55627 56277 65741 68783 85581 99973 104599 110253 123617 129537 130299 158323 166881 187109 197223 206349 299919 313797 330759 370851 390897 474969 477763 500643 561327 591669 619047 723151 899757 941391 1099703 1112553 1299649 1359787 1424907 1433289 1607021 1683981 2058199 2169453 2432417 3299109 3699001 3898947 4079361 4299867 4821063 6174597 6508359 7297251 9897327 11097003 11696841 12238083 14296139 14463189 16895437 17677231 18523791 21891753 26756587 33291009 40689011 42888417 48087013 50686311 53031693 80269761 122067033 128665251 144261039 152058933 159095079 185849807 240809283 366201099 432783117 528957143 557549421 625131169 1586871429 1672648263 1875393507 4760614287 5626180521 6876442859 20629328577 61887985731