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42205261420 = 2257417352833
BaseRepresentation
bin100111010011101000…
…010010111001101100
311000221100122102110101
4213103220102321230
51142414021331140
631215553120444
73022612542250
oct472350227154
9130840572411
1042205261420
1116998851643
12821a559124
133c97c0698a
142085418260
1511703e299a
hex9d3a12e6c

42205261420 has 48 divisors (see below), whose sum is σ = 103763193408. Its totient is φ = 14117437440.

The previous prime is 42205261403. The next prime is 42205261433. The reversal of 42205261420 is 2416250224.

42205261420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3670677 + ... + 3682156.

It is an arithmetic number, because the mean of its divisors is an integer number (2161733196).

Almost surely, 242205261420 is an apocalyptic number.

It is an amenable number.

42205261420 is an abundant number, since it is smaller than the sum of its proper divisors (61557931988).

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

42205261420 is a wasteful number, since it uses less digits than its factorization.

42205261420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7352890 (or 7352888 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The spelling of 42205261420 in words is "forty-two billion, two hundred five million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 7352833 14705666 29411332 36764165 51469831 73528330 102939662 147056660 205879324 257349155 301466153 514698310 602932306 1029396620 1205864612 1507330765 2110263071 3014661530 4220526142 6029323060 8441052284 10551315355 21102630710 42205261420