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10290276880 = 2451319520763
BaseRepresentation
bin10011001010101100…
…10010101000010000
3222120010222020010221
421211112102220100
5132033302330010
64421032202424
7513000624142
oct114526225020
928503866127
1010290276880
114400658364
121bb2239414
13c7cb92740
146d8924c92
154035eadda
hex265592a10

10290276880 has 80 divisors (see below), whose sum is σ = 27121389120. Its totient is φ = 3599506944.

The previous prime is 10290276833. The next prime is 10290276911. The reversal of 10290276880 is 8867209201.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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, 240622 + ... + 280141.

It is an arithmetic number, because the mean of its divisors is an integer number (339017364).

Almost surely, 210290276880 is an apocalyptic number.

10290276880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10290276880 is an abundant number, since it is smaller than the sum of its proper divisors (16831112240).

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

10290276880 is a wasteful number, since it uses less digits than its factorization.

10290276880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520808 (or 520802 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The spelling of 10290276880 in words is "ten billion, two hundred ninety million, two hundred seventy-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 304 380 494 520 760 988 1040 1235 1520 1976 2470 3952 4940 9880 19760 520763 1041526 2083052 2603815 4166104 5207630 6769919 8332208 9894497 10415260 13539838 19788994 20830520 27079676 33849595 39577988 41661040 49472485 54159352 67699190 79155976 98944970 108318704 128628461 135398380 158311952 197889940 257256922 270796760 395779880 514513844 541593520 643142305 791559760 1029027688 1286284610 2058055376 2572569220 5145138440 10290276880