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20577981120 = 263571301907
BaseRepresentation
bin10011001010100010…
…110001001011000000
31222010010002202021220
4103022202301023000
5314120430343440
613241533315040
71325640645024
oct231242611300
958103082256
1020577981120
1187aa808874
123ba3635a80
131c2c3641b8
14dd2d7a384
158068898d0
hex4ca8b12c0

20577981120 has 112 divisors (see below), whose sum is σ = 66255522048. Its totient is φ = 5410155520.

The previous prime is 20577981107. The next prime is 20577981121. The reversal of 20577981120 is 2118977502.

It is not an unprimeable number, because it can be changed into a prime (20577981121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82794 + ... + 219113.

Almost surely, 220577981120 is an apocalyptic number.

20577981120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20577981120 is an abundant number, since it is smaller than the sum of its proper divisors (45677540928).

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

20577981120 is a wasteful number, since it uses less digits than its factorization.

20577981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301998 (or 301988 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 42.

The spelling of 20577981120 in words is "twenty billion, five hundred seventy-seven million, nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 192 213 240 284 320 355 426 480 568 710 852 960 1065 1136 1420 1704 2130 2272 2840 3408 4260 4544 5680 6816 8520 11360 13632 17040 22720 34080 68160 301907 603814 905721 1207628 1509535 1811442 2415256 3019070 3622884 4528605 4830512 6038140 7245768 9057210 9661024 12076280 14491536 18114420 19322048 21435397 24152560 28983072 36228840 42870794 48305120 57966144 64306191 72457680 85741588 96610240 107176985 128612382 144915360 171483176 214353970 257224764 289830720 321530955 342966352 428707940 514449528 643061910 685932704 857415880 1028899056 1286123820 1371865408 1714831760 2057798112 2572247640 3429663520 4115596224 5144495280 6859327040 10288990560 20577981120