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42404536423552 = 2710314512216653
BaseRepresentation
bin10011010010001000100110…
…10101001001010010000000
312120010211112001102102111111
421221010103111021102000
521024223442311023202
6230104213004453104
711634424641314332
oct1151042325112200
9176124461372444
1042404536423552
1112569732366426
12490a34954a194
131a87966257654
14a685677d9452
154d808c9c86d7
hex269113549480

42404536423552 has 64 divisors (see below), whose sum is σ = 85356784244160. Its totient is φ = 20981941171200.

The previous prime is 42404536423511. The next prime is 42404536423609. The reversal of 42404536423552 is 25532463540424.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 42404536423496 and 42404536423505.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18021658 + ... + 20238310.

It is an arithmetic number, because the mean of its divisors is an integer number (1333699753815).

Almost surely, 242404536423552 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 42404536423552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42678392122080).

42404536423552 is an abundant number, since it is smaller than the sum of its proper divisors (42952247820608).

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

42404536423552 is a wasteful number, since it uses less digits than its factorization.

42404536423552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2218221 (or 2218209 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 49.

Adding to 42404536423552 its reverse (25532463540424), we get a palindrome (67936999963976).

The spelling of 42404536423552 in words is "forty-two trillion, four hundred four billion, five hundred thirty-six million, four hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 1451 1648 2902 3296 5804 6592 11608 13184 23216 46432 92864 149453 185728 298906 597812 1195624 2216653 2391248 4433306 4782496 8866612 9564992 17733224 19129984 35466448 70932896 141865792 228315259 283731584 456630518 913261036 1826522072 3216363503 3653044144 6432727006 7306088288 12865454012 14612176576 25730908024 29224353152 51461816048 102923632096 205847264192 331285440809 411694528384 662570881618 1325141763236 2650283526472 5300567052944 10601134105888 21202268211776 42404536423552