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42482906901 = 32374121114747
BaseRepresentation
bin100111100100001011…
…011011011100010101
311001122201002021110100
4213210023123130111
51144001111010101
631303312044313
73032523515301
oct474413333425
9131581067410
1042482906901
1117020547816
128297533699
1340105a8746
1420b024cd01
151189987e86
hex9e42db715

42482906901 has 48 divisors (see below), whose sum is σ = 64870198848. Its totient is φ = 26755142400.

The previous prime is 42482906849. The next prime is 42482906909. The reversal of 42482906901 is 10960928424.

42482906901 is a `hidden beast` number, since 424 + 82 + 90 + 69 + 0 + 1 = 666.

It is not a de Polignac number, because 42482906901 - 27 = 42482906773 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42482906909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2873410 + ... + 2888156.

It is an arithmetic number, because the mean of its divisors is an integer number (1351462476).

Almost surely, 242482906901 is an apocalyptic number.

42482906901 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42482906901 is a deficient number, since it is larger than the sum of its proper divisors (22387291947).

42482906901 is a wasteful number, since it uses less digits than its factorization.

42482906901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15042 (or 15039 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42482906901 in words is "forty-two billion, four hundred eighty-two million, nine hundred six thousand, nine hundred one".

Divisors: 1 3 9 37 41 111 123 211 333 369 633 1517 1899 4551 7807 8651 13653 14747 23421 25953 44241 70263 77859 132723 320087 545639 604627 960261 1636917 1813881 2880783 3111617 4910751 5441643 9334851 22371199 28004553 67113597 115129829 127576297 201340791 345389487 382728891 1036168461 1148186673 4720322989 14160968967 42482906901