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42045056460 = 223251121234877
BaseRepresentation
bin100111001010000101…
…001010010111001100
311000112012012011120100
4213022011022113030
51142102013301320
631152031251100
73015626040351
oct471205122714
9130465164510
1042045056460
111691637a250
128194979a90
133c70973b44
14206c034628
1511612e9790
hex9ca14a5cc

42045056460 has 72 divisors (see below), whose sum is σ = 139130920656. Its totient is φ = 10192740480.

The previous prime is 42045056453. The next prime is 42045056461. The reversal of 42045056460 is 6465054024.

42045056460 is a `hidden beast` number, since 4 + 2 + 0 + 4 + 5 + 0 + 5 + 646 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42045056461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10615459 + ... + 10619418.

It is an arithmetic number, because the mean of its divisors is an integer number (1932373898).

Almost surely, 242045056460 is an apocalyptic number.

It is an amenable number.

42045056460 is an abundant number, since it is smaller than the sum of its proper divisors (97085864196).

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

42045056460 is a wasteful number, since it uses less digits than its factorization.

42045056460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21234903 (or 21234898 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 42045056460 in words is "forty-two billion, forty-five million, fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 21234877 42469754 63704631 84939508 106174385 127409262 191113893 212348770 233583647 254818524 318523155 382227786 424697540 467167294 637046310 700750941 764455572 934334588 955569465 1167918235 1274092620 1401501882 1911138930 2102252823 2335836470 2803003764 3503754705 3822277860 4204505646 4671672940 7007509410 8409011292 10511264115 14015018820 21022528230 42045056460