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655809091920 = 243256114931901
BaseRepresentation
bin10011000101100010100…
…01001001100101010000
32022200202110111200010200
421202301101021211100
541221044111420140
61221135144455200
765244363206553
oct11426121114520
92280673450120
10655809091920
11233144154364
12a712517a500
1349ac5073118
1423a542ca69a
15120d46da030
hex98b1449950

655809091920 has 120 divisors (see below), whose sum is σ = 2238531020232. Its totient is φ = 172015488000.

The previous prime is 655809091901. The next prime is 655809091921. The reversal of 655809091920 is 29190908556.

It can be written as a sum of positive squares in 4 ways, for example, as 53422001424 + 602387090496 = 231132^2 + 776136^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (655809091921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7422031 + ... + 7509870.

Almost surely, 2655809091920 is an apocalyptic number.

655809091920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

655809091920 is an abundant number, since it is smaller than the sum of its proper divisors (1582721928312).

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

655809091920 is a wasteful number, since it uses less digits than its factorization.

655809091920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14931981 (or 14931972 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 655809091920 in words is "six hundred fifty-five billion, eight hundred nine million, ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 61 72 80 90 120 122 144 180 183 240 244 305 360 366 488 549 610 720 732 915 976 1098 1220 1464 1830 2196 2440 2745 2928 3660 4392 4880 5490 7320 8784 10980 14640 21960 43920 14931901 29863802 44795703 59727604 74659505 89591406 119455208 134387109 149319010 179182812 223978515 238910416 268774218 298638020 358365624 447957030 537548436 597276040 671935545 716731248 895914060 910845961 1075096872 1194552080 1343871090 1791828120 1821691922 2150193744 2687742180 2732537883 3583656240 3643383844 4554229805 5375484360 5465075766 7286767688 8197613649 9108459610 10750968720 10930151532 13662689415 14573535376 16395227298 18216919220 21860303064 27325378830 32790454596 36433838440 40988068245 43720606128 54650757660 65580909192 72867676880 81976136490 109301515320 131161818384 163952272980 218603030640 327904545960 655809091920