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2105079808 = 21113174651
BaseRepresentation
bin111110101111000…
…1111100000000000
312102201002010121211
41331132033200000
513302400023213
6544515055504
7103110611626
oct17536174000
95381063554
102105079808
11990298687
124a8ba1594
13277179070
1415d80d516
15c4c1c53d
hex7d78f800

2105079808 has 96 divisors (see below), whose sum is σ = 4800584880. Its totient is φ = 914227200.

The previous prime is 2105079773. The next prime is 2105079829. The reversal of 2105079808 is 8089705012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450283 + ... + 454933.

Almost surely, 22105079808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105079808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2400292440).

2105079808 is an abundant number, since it is smaller than the sum of its proper divisors (2695505072).

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

2105079808 is a wasteful number, since it uses less digits than its factorization.

2105079808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The square root of 2105079808 is about 45881.1487214520. The cubic root of 2105079808 is about 1281.6108885023.

The spelling of 2105079808 in words is "two billion, one hundred five million, seventy-nine thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 208 221 256 272 416 442 512 544 832 884 1024 1088 1664 1768 2048 2176 3328 3536 4352 4651 6656 7072 8704 9302 13312 14144 17408 18604 26624 28288 34816 37208 56576 60463 74416 79067 113152 120926 148832 158134 226304 241852 297664 316268 452608 483704 595328 632536 967408 1027871 1190656 1265072 1934816 2055742 2381312 2530144 3869632 4111484 4762624 5060288 7739264 8222968 9525248 10120576 15478528 16445936 20241152 30957056 32891872 40482304 61914112 65783744 80964608 123828224 131567488 161929216 263134976 526269952 1052539904 2105079808