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42494476220 = 225719109146563
BaseRepresentation
bin100111100100110111…
…100011111110111100
311001200111212001120122
4213210313203332330
51144012041214340
631304404034112
73033024042140
oct474467437674
9131614761518
1042494476220
1117027029a39
12829b392938
134012ac96b1
1420b19c1220
15118a9c0db5
hex9e4de3fbc

42494476220 has 96 divisors (see below), whose sum is σ = 108340108800. Its totient is φ = 13675993344.

The previous prime is 42494476153. The next prime is 42494476237. The reversal of 42494476220 is 2267449424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216659 + ... + 363221.

It is an arithmetic number, because the mean of its divisors is an integer number (1128542800).

Almost surely, 242494476220 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 42494476220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54170054400).

42494476220 is an abundant number, since it is smaller than the sum of its proper divisors (65845632580).

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

42494476220 is a wasteful number, since it uses less digits than its factorization.

42494476220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146707 (or 146705 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 42494476220 in words is "forty-two billion, four hundred ninety-four million, four hundred seventy-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 109 133 140 190 218 266 380 436 532 545 665 763 1090 1330 1526 2071 2180 2660 3052 3815 4142 7630 8284 10355 14497 15260 20710 28994 41420 57988 72485 144970 146563 289940 293126 586252 732815 1025941 1465630 2051882 2784697 2931260 4103764 5129705 5569394 10259410 11138788 13923485 15975367 19492879 20518820 27846970 31950734 38985758 55693940 63901468 77971516 79876835 97464395 111827569 159753670 194928790 223655138 303531973 319507340 389857580 447310276 559137845 607063946 1118275690 1214127892 1517659865 2124723811 2236551380 3035319730 4249447622 6070639460 8498895244 10623619055 21247238110 42494476220