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42107961861 = 3471719435347
BaseRepresentation
bin100111001101110101…
…001000001000000101
311000200120120002120000
4213031311020020011
51142214114234421
631202155431513
73020321525130
oct471565101005
9130616502500
1042107961861
1116948934a89
1281b1a55599
133c809ca384
14207652b217
151166ac3226
hex9cdd48205

42107961861 has 160 divisors (see below), whose sum is σ = 82001525760. Its totient is φ = 20951529984.

The previous prime is 42107961853. The next prime is 42107961869. The reversal of 42107961861 is 16816970124.

42107961861 is a `hidden beast` number, since 4 + 21 + 0 + 7 + 9 + 618 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (42107961853) and next prime (42107961869).

It is not a de Polignac number, because 42107961861 - 23 = 42107961853 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42107961869) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7872390 + ... + 7877736.

It is an arithmetic number, because the mean of its divisors is an integer number (512509536).

Almost surely, 242107961861 is an apocalyptic number.

It is an amenable number.

42107961861 is a deficient number, since it is larger than the sum of its proper divisors (39893563899).

42107961861 is a wasteful number, since it uses less digits than its factorization.

42107961861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5445 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 42107961861 in words is "forty-two billion, one hundred seven million, nine hundred sixty-one thousand, eight hundred sixty-one".

Divisors: 1 3 7 9 17 19 21 27 43 51 57 63 81 119 129 133 153 171 189 301 323 357 387 399 459 513 567 731 817 903 969 1071 1161 1197 1377 1539 2193 2261 2451 2709 2907 3213 3483 3591 5117 5347 5719 6579 6783 7353 8127 8721 9639 10773 13889 15351 16041 17157 19737 20349 22059 24381 26163 37429 41667 46053 48123 51471 59211 61047 66177 90899 97223 101593 112287 125001 138159 144369 154413 183141 229921 272697 291669 304779 336861 375003 414477 433107 463239 636293 689763 711151 818091 875007 914337 1010583 1125009 1609447 1727081 1908879 2069289 2133453 2454273 2625021 2743011 3031749 3908657 4368499 4828341 5181243 5726637 6207867 6400359 7362819 7875063 8229033 11725971 12089567 13105497 14485023 15543729 17179911 18623601 19201077 27360599 30579493 35177913 36268701 39316491 43455069 46631187 51539733 57603231 74264483 82081797 91738479 105533739 108806103 117949473 130365207 139893561 222793449 246245391 275215437 316601217 326418309 353848419 519851381 668380347 738736173 825646311 979254927 1559554143 2005141041 2216208519 2476938933 4678662429 6015423123 14035987287 42107961861