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42504200552 = 2311292718089
BaseRepresentation
bin100111100101011100…
…101010000101101000
311001201012011002212002
4213211130222011220
51144022033404202
631305352310132
73033202513022
oct474534520550
9131635132762
1042504200552
1117031570a80
1282a26a2348
134014b22938
1420b2dd3012
15118b792302
hex9e572a168

42504200552 has 96 divisors (see below), whose sum is σ = 91321214400. Its totient is φ = 18388876800.

The previous prime is 42504200539. The next prime is 42504200603. The reversal of 42504200552 is 25500240524.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 5250524 + ... + 5258612.

It is an arithmetic number, because the mean of its divisors is an integer number (951262650).

Almost surely, 242504200552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42504200552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45660607200).

42504200552 is an abundant number, since it is smaller than the sum of its proper divisors (48817013848).

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

42504200552 is a wasteful number, since it uses less digits than its factorization.

42504200552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8202 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 29.

The spelling of 42504200552 in words is "forty-two billion, five hundred four million, two hundred thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 22 29 44 58 71 88 116 142 232 284 319 568 638 781 841 1276 1562 1682 2059 2552 3124 3364 4118 6248 6728 8089 8236 9251 16178 16472 18502 22649 32356 37004 45298 59711 64712 74008 88979 90596 119422 177958 181192 234581 238844 355916 469162 477688 574319 656821 711832 938324 1148638 1313642 1876648 2297276 2580391 2627284 4594552 5160782 5254568 6317509 6802849 10321564 12635018 13605698 16655251 20643128 25270036 27211396 33310502 50540072 54422792 66621004 74831339 133242008 149662678 183207761 299325356 366415522 483002279 598650712 732831044 966004558 1465662088 1932009116 3864018232 5313025069 10626050138 21252100276 42504200552