Search a number
-
+
20078509360 = 2457132758037
BaseRepresentation
bin10010101100110001…
…011011110100110000
31220211022020221211211
4102230301123310300
5312110044244420
613120212045504
71310364341110
oct225461336460
956738227754
1020078509360
118573882298
123a84303894
131b7ca35690
14d868c1040
157c7ac7e5a
hex4acc5bd30

20078509360 has 80 divisors (see below), whose sum is σ = 57455447616. Its totient is φ = 6354514944.

The previous prime is 20078509337. The next prime is 20078509391. The reversal of 20078509360 is 6390587002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1371739 + ... + 1386298.

Almost surely, 220078509360 is an apocalyptic number.

20078509360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20078509360 is an abundant number, since it is smaller than the sum of its proper divisors (37376938256).

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

20078509360 is a wasteful number, since it uses less digits than its factorization.

20078509360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758070 (or 2758064 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 20078509360 in words is "twenty billion, seventy-eight million, five hundred nine thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 2758037 5516074 11032148 13790185 19306259 22064296 27580370 35854481 38612518 44128592 55160740 71708962 77225036 96531295 110321480 143417924 154450072 179272405 193062590 220642960 250981367 286835848 308900144 358544810 386125180 501962734 573671696 717089620 772250360 1003925468 1254906835 1434179240 1544500720 2007850936 2509813670 2868358480 4015701872 5019627340 10039254680 20078509360