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10208872920 = 23352318232029
BaseRepresentation
bin10011000000111111…
…10000100111011000
3222100110210110220110
421200133300213120
5131401432413140
64405003324320
7510661662621
oct114037604730
928313713813
1010208872920
114369708364
121b8ab206a0
13c6906030c
146cbbb4a48
153eb3bb380
hex2607f09d8

10208872920 has 128 divisors (see below), whose sum is σ = 31991500800. Its totient is φ = 2601291264.

The previous prime is 10208872853. The next prime is 10208872951. The reversal of 10208872920 is 2927880201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5030466 + ... + 5032494.

It is an arithmetic number, because the mean of its divisors is an integer number (249933600).

Almost surely, 210208872920 is an apocalyptic number.

10208872920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10208872920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15995750400).

10208872920 is an abundant number, since it is smaller than the sum of its proper divisors (21782627880).

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

10208872920 is a wasteful number, since it uses less digits than its factorization.

10208872920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3889 (or 3885 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 10208872920 in words is "ten billion, two hundred eight million, eight hundred seventy-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 1823 2029 2760 3646 4058 5469 6087 7292 8116 9115 10145 10938 12174 14584 16232 18230 20290 21876 24348 27345 30435 36460 40580 41929 43752 46667 48696 54690 60870 72920 81160 83858 93334 109380 121740 125787 140001 167716 186668 209645 218760 233335 243480 251574 280002 335432 373336 419290 466670 503148 560004 628935 700005 838580 933340 1006296 1120008 1257870 1400010 1677160 1866680 2515740 2800020 3698867 5031480 5600040 7397734 11096601 14795468 18494335 22193202 29590936 36988670 44386404 55483005 73977340 85073941 88772808 110966010 147954680 170147882 221932020 255221823 340295764 425369705 443864040 510443646 680591528 850739410 1020887292 1276109115 1701478820 2041774584 2552218230 3402957640 5104436460 10208872920