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10080773560 = 235111317103669
BaseRepresentation
bin10010110001101110…
…00110010110111000
3222000112202100121201
421120313012112320
5131121134223220
64344145543544
7504545106244
oct113067062670
928015670551
1010080773560
114303374420
121b54044bb4
13c4865b990
146b8b8b424
153e0015d0a
hex258dc65b8

10080773560 has 128 divisors (see below), whose sum is σ = 28214827200. Its totient is φ = 3184680960.

The previous prime is 10080773519. The next prime is 10080773567. The reversal of 10080773560 is 6537708001.

10080773560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10080773567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45406 + ... + 149074.

Almost surely, 210080773560 is an apocalyptic number.

10080773560 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 10080773560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14107413600).

10080773560 is an abundant number, since it is smaller than the sum of its proper divisors (18134053640).

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

10080773560 is a wasteful number, since it uses less digits than its factorization.

10080773560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103721 (or 103717 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 10080773560 in words is "ten billion, eighty million, seven hundred seventy-three thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 170 187 220 221 260 286 340 374 440 442 520 572 680 715 748 884 935 1105 1144 1430 1496 1768 1870 2210 2431 2860 3740 4420 4862 5720 7480 8840 9724 12155 19448 24310 48620 97240 103669 207338 414676 518345 829352 1036690 1140359 1347697 1762373 2073380 2280718 2695394 3524746 4146760 4561436 5390788 5701795 6738485 7049492 8811865 9122872 10781576 11403590 13476970 14098984 14824667 17623730 19386103 22807180 22910849 26953940 29649334 35247460 38772206 45614360 45821698 53907880 59298668 70494920 74123335 77544412 91643396 96930515 114554245 118597336 148246670 155088824 183286792 193861030 229108490 252019339 296493340 387722060 458216980 504038678 592986680 775444120 916433960 1008077356 1260096695 2016154712 2520193390 5040386780 10080773560