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13078076520 = 2335891796841
BaseRepresentation
bin11000010111000001…
…11001110001101000
31020202102201010022110
430023200321301220
5203240441422040
610001420322320
7642041546655
oct141340716150
936672633273
1013078076520
115601262503
12264b9a33a0
13130560a722
148c0c90c2c
15518225980
hex30b839c68

13078076520 has 128 divisors (see below), whose sum is σ = 39902544000. Its totient is φ = 3428536320.

The previous prime is 13078076519. The next prime is 13078076527. The reversal of 13078076520 is 2567087031.

It is not an unprimeable number, because it can be changed into a prime (13078076527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1908300 + ... + 1915140.

It is an arithmetic number, because the mean of its divisors is an integer number (311738625).

Almost surely, 213078076520 is an apocalyptic number.

13078076520 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 13078076520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19951272000).

13078076520 is an abundant number, since it is smaller than the sum of its proper divisors (26824467480).

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

13078076520 is a wasteful number, since it uses less digits than its factorization.

13078076520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7123 (or 7119 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The spelling of 13078076520 in words is "thirteen billion, seventy-eight million, seventy-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 179 267 356 358 445 534 537 712 716 890 895 1068 1074 1335 1432 1780 1790 2136 2148 2670 2685 3560 3580 4296 5340 5370 6841 7160 10680 10740 13682 15931 20523 21480 27364 31862 34205 41046 47793 54728 63724 68410 79655 82092 95586 102615 127448 136820 159310 164184 191172 205230 238965 273640 318620 382344 410460 477930 608849 637240 820920 955860 1217698 1224539 1826547 1911720 2435396 2449078 3044245 3653094 3673617 4870792 4898156 6088490 6122695 7306188 7347234 9132735 9796312 12176980 12245390 14612376 14694468 18265470 18368085 24353960 24490780 29388936 36530940 36736170 48981560 73061880 73472340 108983971 146944680 217967942 326951913 435935884 544919855 653903826 871871768 1089839710 1307807652 1634759565 2179679420 2615615304 3269519130 4359358840 6539038260 13078076520