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42435532161 = 32114797167563
BaseRepresentation
bin100111100001010110…
…101101010110000001
311001112101221101112100
4213201112231112001
51143401444012121
631254500421013
73031410033441
oct474126552601
9131471841470
1042435532161
1116aa682a440
1282836a7769
13400382c259
1420a7c3a121
15118572b026
hex9e15ad581

42435532161 has 96 divisors (see below), whose sum is σ = 69531291648. Its totient is φ = 24718648320.

The previous prime is 42435532147. The next prime is 42435532169. The reversal of 42435532161 is 16123553424.

42435532161 is a `hidden beast` number, since 4 + 2 + 43 + 553 + 2 + 1 + 61 = 666.

It is not a de Polignac number, because 42435532161 - 210 = 42435531137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42435532169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75373666 + ... + 75374228.

It is an arithmetic number, because the mean of its divisors is an integer number (724284288).

Almost surely, 242435532161 is an apocalyptic number.

It is an amenable number.

42435532161 is a deficient number, since it is larger than the sum of its proper divisors (27095759487).

42435532161 is a wasteful number, since it uses less digits than its factorization.

42435532161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 891 (or 888 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The spelling of 42435532161 in words is "forty-two billion, four hundred thirty-five million, five hundred thirty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 47 97 99 141 167 291 423 501 517 563 873 1067 1503 1551 1689 1837 3201 4559 4653 5067 5511 6193 7849 9603 13677 16199 16533 18579 23547 26461 41031 48597 50149 54611 55737 70641 79383 86339 94021 145791 150447 163833 178189 238149 259017 282063 291071 451341 491499 534567 600721 761353 777051 846189 873213 1034231 1603701 1802163 2284059 2566717 2619639 3102693 4418987 5406489 6852177 7700151 8374883 9120037 9308079 13256961 23100453 25124649 27360111 28233887 39770883 48608857 75373947 82080333 84701661 100320407 145826571 254104983 300961221 428641739 437479713 902883663 1285925217 3857775651 4715059129 14145177387 42435532161