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42612480006 = 2323618276121
BaseRepresentation
bin100111101011111001…
…101101100000000110
311001222201220021100020
4213223321231200012
51144232243330011
631324221200010
73035656050405
oct475371554006
9131881807306
1042612480006
11170876a7a28
128312a00006
1340313a4b15
1420c353b63c
151196030006
hex9ebe6d806

42612480006 has 64 divisors (see below), whose sum is σ = 90512349696. Its totient is φ = 13345516800.

The previous prime is 42612479993. The next prime is 42612480047. The reversal of 42612480006 is 60008421624.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6958626 + ... + 6964746.

It is an arithmetic number, because the mean of its divisors is an integer number (1414255464).

Almost surely, 242612480006 is an apocalyptic number.

42612480006 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

42612480006 is an abundant number, since it is smaller than the sum of its proper divisors (47899869690).

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

42612480006 is a wasteful number, since it uses less digits than its factorization.

42612480006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037.

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 42612480006 in words is "forty-two billion, six hundred twelve million, four hundred eighty thousand, six".

Divisors: 1 2 3 6 23 46 61 69 122 138 183 366 827 1403 1654 2481 2806 4209 4962 6121 8418 12242 18363 19021 36726 38042 50447 57063 100894 114126 140783 151341 281566 302682 373381 422349 746762 844698 1120143 1160281 2240286 2320562 3480843 5062067 6961686 8587763 10124134 15186201 17175526 25763289 30372402 51526578 116427541 232855082 308786087 349282623 617572174 698565246 926358261 1852716522 7102080001 14204160002 21306240003 42612480006