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135564347240 = 2357829584027
BaseRepresentation
bin111111001000001000…
…0111100011101101000
3110221220201020101001122
41332100100330131220
54210113433102430
6142135530234412
712536260640030
oct1762020743550
9427821211048
10135564347240
11525465a3613
1222334285a08
13ca259280aa
1467c04b28c0
1537d65e3ee5
hex1f9043c768

135564347240 has 64 divisors (see below), whose sum is σ = 349015132800. Its totient is φ = 46423058688.

The previous prime is 135564347209. The next prime is 135564347339. The reversal of 135564347240 is 42743465531.

135564347240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 135564347191 and 135564347200.

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, 59894 + ... + 524133.

It is an arithmetic number, because the mean of its divisors is an integer number (5453361450).

Almost surely, 2135564347240 is an apocalyptic number.

135564347240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135564347240 is an abundant number, since it is smaller than the sum of its proper divisors (213450785560).

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

135564347240 is a wasteful number, since it uses less digits than its factorization.

135564347240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584874 (or 584870 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 44.

The spelling of 135564347240 in words is "one hundred thirty-five billion, five hundred sixty-four million, three hundred forty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 829 1658 3316 4145 5803 6632 8290 11606 16580 23212 29015 33160 46424 58030 116060 232120 584027 1168054 2336108 2920135 4088189 4672216 5840270 8176378 11680540 16352756 20440945 23361080 32705512 40881890 81763780 163527560 484158383 968316766 1936633532 2420791915 3389108681 3873267064 4841583830 6778217362 9683167660 13556434724 16945543405 19366335320 27112869448 33891086810 67782173620 135564347240