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42380594460 = 22325435475529
BaseRepresentation
bin100111011110000101…
…001000110100011100
311001101120120021011200
4213132011020310130
51143243413010320
631245215115500
73030142052301
oct473605106434
9131346507150
1042380594460
1116a78816986
128269212b90
133cc5335539
1420a08190a8
1511809c8290
hex9de148d1c

42380594460 has 72 divisors (see below), whose sum is σ = 131544132720. Its totient is φ = 11038664448.

The previous prime is 42380594447. The next prime is 42380594491. The reversal of 42380594460 is 6449508324.

42380594460 is a `hidden beast` number, since 4 + 23 + 80 + 5 + 94 + 460 = 666.

It is a super-2 number, since 2×423805944602 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2730025 + ... + 2745504.

Almost surely, 242380594460 is an apocalyptic number.

It is an amenable number.

42380594460 is an abundant number, since it is smaller than the sum of its proper divisors (89163538260).

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

42380594460 is a wasteful number, since it uses less digits than its factorization.

42380594460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5475587 (or 5475582 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42380594460 in words is "forty-two billion, three hundred eighty million, five hundred ninety-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 5475529 10951058 16426587 21902116 27377645 32853174 49279761 54755290 65706348 82132935 98559522 109510580 164265870 197119044 235447747 246398805 328531740 470895494 492797610 706343241 941790988 985595220 1177238735 1412686482 2119029723 2354477470 2825372964 3531716205 4238059446 4708954940 7063432410 8476118892 10595148615 14126864820 21190297230 42380594460