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42589985220 = 22335292719667
BaseRepresentation
bin100111101010100011…
…111001100111000100
311001221011120102022000
4213222203321213010
51144211014011340
631322055105300
73035263621056
oct475243714704
9131834512260
1042589985220
1117075a332a2
128307372230
134029829cb3
1420c05638d6
151194089d30
hex9ea8f99c4

42589985220 has 96 divisors (see below), whose sum is σ = 137071267200. Its totient is φ = 10965693312.

The previous prime is 42589985213. The next prime is 42589985227. The reversal of 42589985220 is 2258998524.

It is a happy number.

42589985220 is a `hidden beast` number, since 4 + 2 + 589 + 9 + 8 + 52 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42589985213) and next prime (42589985227).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42589985227) 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 31 ways as a sum of consecutive naturals, for example, 1344174 + ... + 1375493.

It is an arithmetic number, because the mean of its divisors is an integer number (1427825700).

Almost surely, 242589985220 is an apocalyptic number.

It is an amenable number.

42589985220 is an abundant number, since it is smaller than the sum of its proper divisors (94481281980).

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

42589985220 is a wasteful number, since it uses less digits than its factorization.

42589985220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719714 (or 2719706 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 42589985220 in words is "forty-two billion, five hundred eighty-nine million, nine hundred eighty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 2719667 5439334 8159001 10878668 13598335 16318002 24477003 27196670 32636004 40795005 48954006 54393340 73431009 78870343 81590010 97908012 122385015 146862018 157740686 163180020 236611029 244770030 293724036 315481372 367155045 394351715 473222058 489540060 709833087 734310090 788703430 946444116 1183055145 1419666174 1468620180 1577406860 2129499261 2366110290 2839332348 3549165435 4258998522 4732220580 7098330870 8517997044 10647496305 14196661740 21294992610 42589985220