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10519099920 = 2432572087123
BaseRepresentation
bin10011100101111110…
…01011101000010000
31000011002112122100100
421302333023220100
5133020342144140
64455444452400
7521446605540
oct116277135020
930132478310
1010519099920
11450883750a
1220569aa100
13cb83cc0a4
1471b08b320
1541874a530
hex272fcba10

10519099920 has 120 divisors (see below), whose sum is σ = 40373326656. Its totient is φ = 2404364544.

The previous prime is 10519099919. The next prime is 10519099937. The reversal of 10519099920 is 2999091501.

10519099920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×105190999202 (a number of 21 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 1038522 + ... + 1048601.

Almost surely, 210519099920 is an apocalyptic number.

10519099920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10519099920 is an abundant number, since it is smaller than the sum of its proper divisors (29854226736).

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

10519099920 is a wasteful number, since it uses less digits than its factorization.

10519099920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087149 (or 2087140 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 45.

The spelling of 10519099920 in words is "ten billion, five hundred nineteen million, ninety-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 2087123 4174246 6261369 8348492 10435615 12522738 14609861 16696984 18784107 20871230 25045476 29219722 31306845 33393968 37568214 41742460 43829583 50090952 58439444 62613690 73049305 75136428 83484920 87659166 93920535 100181904 116878888 125227380 131488749 146098610 150272856 166969840 175318332 187841070 219147915 233757776 250454760 262977498 292197220 300545712 350636664 375682140 438295830 500909520 525954996 584394440 657443745 701273328 751364280 876591660 1051909992 1168788880 1314887490 1502728560 1753183320 2103819984 2629774980 3506366640 5259549960 10519099920