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421287119680 = 2657226867801
BaseRepresentation
bin1100010000101101010…
…10110100101101000000
31111021102020001002111211
412020112222310231000
523400244000312210
6521311525015504
742302613301300
oct6102652645500
91437366032454
10421287119680
11152737661499
1269794254594
133095b89134b
14165673b5600
15ae5a65d38a
hex6216ab4b40

421287119680 has 84 divisors (see below), whose sum is σ = 1166976112068. Its totient is φ = 144441292800.

The previous prime is 421287119677. The next prime is 421287119683. The reversal of 421287119680 is 86911782124.

It is an interprime number because it is at equal distance from previous prime (421287119677) and next prime (421287119683).

It can be written as a sum of positive squares in 2 ways, for example, as 281476935936 + 139810183744 = 530544^2 + 373912^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421287119683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13418221 + ... + 13449580.

Almost surely, 2421287119680 is an apocalyptic number.

421287119680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

421287119680 is an abundant number, since it is smaller than the sum of its proper divisors (745688992388).

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

421287119680 is a wasteful number, since it uses less digits than its factorization.

421287119680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26867832 (or 26867815 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 49.

The spelling of 421287119680 in words is "four hundred twenty-one billion, two hundred eighty-seven million, one hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 26867801 53735602 107471204 134339005 188074607 214942408 268678010 376149214 429884816 537356020 752298428 859769632 940373035 1074712040 1316522249 1504596856 1719539264 1880746070 2149424080 2633044498 3009193712 3761492140 4298848160 5266088996 6018387424 6582611245 7522984280 8597696320 10532177992 12036774848 13165222490 15045968560 21064355984 26330444980 30091937120 42128711968 52660889960 60183874240 84257423936 105321779920 210643559840 421287119680