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42247372905 = 345257405893
BaseRepresentation
bin100111010110001000…
…111100000001101001
311001001021212220120000
4213112020330001221
51143010311413110
631224055453213
73023633513253
oct472610740151
9131037786500
1042247372905
1116a0a5a4621
128230687209
133ca385c60a
14208ac5acd3
151173e601c0
hex9d623c069

42247372905 has 40 divisors (see below), whose sum is σ = 76027193352. Its totient is φ = 22444204032.

The previous prime is 42247372883. The next prime is 42247372987. The reversal of 42247372905 is 50927374224.

42247372905 is a `hidden beast` number, since 4 + 22 + 473 + 72 + 90 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7927587369 + 34319785536 = 89037^2 + 185256^2 .

It is not a de Polignac number, because 42247372905 - 25 = 42247372873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98862 + ... + 307031.

Almost surely, 242247372905 is an apocalyptic number.

42247372905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42247372905 is a deficient number, since it is larger than the sum of its proper divisors (33779820447).

42247372905 is a wasteful number, since it uses less digits than its factorization.

42247372905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406167 (or 406158 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 42247372905 in words is "forty-two billion, two hundred forty-seven million, three hundred seventy-two thousand, nine hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 257 405 771 1285 2313 3855 6939 11565 20817 34695 104085 405893 1217679 2029465 3653037 6088395 10959111 18265185 32877333 54795555 104314501 164386665 312943503 521572505 938830509 1564717515 2816491527 4694152545 8449474581 14082457635 42247372905