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135200742656 = 28775446843
BaseRepresentation
bin111110111101010010…
…1111001110100000000
3110220222101001100100012
41331322211321310000
54203342342231111
6142035501044052
712524254231250
oct1757245716400
9426871040305
10135200742656
115237a327061
1222252556628
13c9984ba755
1467880a3960
1537b471e48b
hex1f7a979d00

135200742656 has 36 divisors (see below), whose sum is σ = 308426698272. Its totient is φ = 57943174656.

The previous prime is 135200742653. The next prime is 135200742661. The reversal of 135200742656 is 656247002531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135200742653) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37721630 + ... + 37725213.

Almost surely, 2135200742656 is an apocalyptic number.

135200742656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135200742656 is an abundant number, since it is smaller than the sum of its proper divisors (173225955616).

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

135200742656 is an frugal number, since it uses more digits than its factorization.

135200742656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75446866 (or 75446852 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 135200742656 in words is "one hundred thirty-five billion, two hundred million, seven hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 75446843 150893686 301787372 528127901 603574744 1056255802 1207149488 2112511604 2414298976 4225023208 4828597952 8450046416 9657195904 16900092832 19314391808 33800185664 67600371328 135200742656