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42604800260 = 225112323336137
BaseRepresentation
bin100111101011011100…
…011010100100000100
311001222012110002201012
4213223130122210010
51144223312102020
631323344421352
73035533553441
oct475334324404
9131865402635
1042604800260
1117083332030
128310317858
13402c9163a9
1420c24dc9c8
1511955147c5
hex9eb71a904

42604800260 has 96 divisors (see below), whose sum is σ = 102287308032. Its totient is φ = 14755051520.

The previous prime is 42604800253. The next prime is 42604800313. The reversal of 42604800260 is 6200840624.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1160912 + ... + 1197048.

It is an arithmetic number, because the mean of its divisors is an integer number (1065492792).

Almost surely, 242604800260 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 42604800260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51143654016).

42604800260 is an abundant number, since it is smaller than the sum of its proper divisors (59682507772).

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

42604800260 is a wasteful number, since it uses less digits than its factorization.

42604800260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36413 (or 36411 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 42604800260 in words is "forty-two billion, six hundred four million, eight hundred thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 233 253 460 466 506 932 1012 1165 1265 2330 2530 2563 4660 5060 5126 5359 10252 10718 12815 21436 25630 26795 36137 51260 53590 58949 72274 107180 117898 144548 180685 235796 294745 361370 397507 589490 722740 795014 831151 1178980 1590028 1662302 1987535 3324604 3975070 4155755 7950140 8311510 8419921 9142661 16623020 16839842 18285322 33679684 36570644 42099605 45713305 84199210 91426610 92619131 168398420 182853220 185238262 193658183 370476524 387316366 463095655 774632732 926191310 968290915 1852382620 1936581830 2130240013 3873163660 4260480026 8520960052 10651200065 21302400130 42604800260