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78261036920 = 235113710744927
BaseRepresentation
bin100100011100010111…
…0001010011101111000
321111000010221121002222
41020320232022131320
52240234311140140
655541433343212
75440244560253
oct1107056123570
9244003847088
1078261036920
1130210351410
1213201567b08
1374c2a95991
143b05c3009a
1520809c05b5
hex1238b8a778

78261036920 has 128 divisors (see below), whose sum is σ = 199135272960. Its totient is φ = 27430018560.

The previous prime is 78261036907. The next prime is 78261036929. The reversal of 78261036920 is 2963016287.

It is a super-2 number, since 2×782610369202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78261036929) 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, 1719497 + ... + 1764423.

It is an arithmetic number, because the mean of its divisors is an integer number (1555744320).

Almost surely, 278261036920 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 78261036920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99567636480).

78261036920 is an abundant number, since it is smaller than the sum of its proper divisors (120874236040).

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

78261036920 is a wasteful number, since it uses less digits than its factorization.

78261036920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45093 (or 45089 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The spelling of 78261036920 in words is "seventy-eight billion, two hundred sixty-one million, thirty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 37 40 44 55 74 88 107 110 148 185 214 220 296 370 407 428 440 535 740 814 856 1070 1177 1480 1628 2035 2140 2354 3256 3959 4070 4280 4708 5885 7918 8140 9416 11770 15836 16280 19795 23540 31672 39590 43549 44927 47080 79180 87098 89854 158360 174196 179708 217745 224635 348392 359416 435490 449270 494197 870980 898540 988394 1662299 1741960 1797080 1976788 2470985 3324598 3953576 4807189 4941970 6649196 8311495 9614378 9883940 13298392 16622990 18285289 19228756 19767880 24035945 33245980 36570578 38457512 48071890 52879079 66491960 73141156 91426445 96143780 105758158 146282312 177865993 182852890 192287560 211516316 264395395 355731986 365705780 423032632 528790790 711463972 731411560 889329965 1057581580 1422927944 1778659930 1956525923 2115163160 3557319860 3913051846 7114639720 7826103692 9782629615 15652207384 19565259230 39130518460 78261036920