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13655745720 = 2333517743777
BaseRepresentation
bin11001011011111001…
…00010010010111000
31022020200200202111000
430231330202102320
5210431332330340
610135014005000
7662254631511
oct145574422270
938220622430
1013655745720
115878348971
122791346760
1313981b8016
149378a3a08
1554dcd1d30
hex32df224b8

13655745720 has 128 divisors (see below), whose sum is σ = 48196814400. Its totient is φ = 3427319808.

The previous prime is 13655745709. The next prime is 13655745773. The reversal of 13655745720 is 2754755631.

It is a happy number.

13655745720 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 5 + 74 + 572 + 0 = 666.

13655745720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353529 + ... + 390248.

Almost surely, 213655745720 is an apocalyptic number.

13655745720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13655745720 is an abundant number, since it is smaller than the sum of its proper divisors (34541068680).

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

13655745720 is a wasteful number, since it uses less digits than its factorization.

13655745720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743814 (or 743804 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

It can be divided in two parts, 13655 and 745720, that added together give a 5-th power (759375 = 155).

The spelling of 13655745720 in words is "thirteen billion, six hundred fifty-five million, seven hundred forty-five thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1836 2040 2295 3060 3672 4590 6120 9180 18360 743777 1487554 2231331 2975108 3718885 4462662 5950216 6693993 7437770 8925324 11156655 12644209 13387986 14875540 17850648 20081979 22313310 25288418 26775972 29751080 33469965 37932627 40163958 44626620 50576836 53551944 63221045 66939930 75865254 80327916 89253240 100409895 101153672 113797881 126442090 133879860 151730508 160655832 189663135 200819790 227595762 252884180 267759720 303461016 341393643 379326270 401639580 455191524 505768360 568989405 682787286 758652540 803279160 910383048 1137978810 1365574572 1517305080 1706968215 2275957620 2731149144 3413936430 4551915240 6827872860 13655745720