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42995659924 = 22743611493929
BaseRepresentation
bin101000000010101111…
…011011010010010100
311002222102220211101001
4220002233123102110
51201023342104144
631430230113044
73051321036130
oct500257332224
9132872824331
1042995659924
1117263a24748
1283bb1ab784
1340928a74b9
14211c3a43c0
1511b99bebd4
hexa02bdb494

42995659924 has 96 divisors (see below), whose sum is σ = 90056736000. Its totient is φ = 17579842560.

The previous prime is 42995659921. The next prime is 42995659979.

42995659924 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42995659921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10941192 + ... + 10945120.

It is an arithmetic number, because the mean of its divisors is an integer number (938091000).

Almost surely, 242995659924 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42995659924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45028368000).

42995659924 is an abundant number, since it is smaller than the sum of its proper divisors (47061076076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42995659924 is a wasteful number, since it uses less digits than its factorization.

42995659924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4191 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 64.

The spelling of 42995659924 in words is "forty-two billion, nine hundred ninety-five million, six hundred fifty-nine thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 43 61 86 122 149 172 244 298 301 427 596 602 854 1043 1204 1708 2086 2623 3929 4172 5246 6407 7858 9089 10492 12814 15716 18178 18361 25628 27503 36356 36722 44849 55006 63623 73444 89698 110012 127246 168947 179396 239669 254492 337894 390827 479338 585421 675788 781654 958676 1170842 1182629 1563308 1677683 2341684 2365258 2735789 3355366 4097947 4730516 5471578 6710732 8195894 10305767 10943156 16391788 20611534 25173103 35710681 41223068 50346206 71421362 72140369 100692412 142842724 144280738 176211721 249974767 288561476 352423442 499949534 704846884 999899068 1535559283 3071118566 6142237132 10748914981 21497829962 42995659924