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20918715780 = 22354112776659
BaseRepresentation
bin10011011110110110…
…100100010110000100
31222222212020212101010
4103132312210112010
5320320142401110
613335424402220
71340246102364
oct233666442604
958885225333
1020918715780
118965084866
124079776370
131c84b25041
1410263149a4
15826743020
hex4deda4584

20918715780 has 96 divisors (see below), whose sum is σ = 60057002880. Its totient is φ = 5437189120.

The previous prime is 20918715767. The next prime is 20918715799. The reversal of 20918715780 is 8751781902.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 3138091 + ... + 3144749.

It is an arithmetic number, because the mean of its divisors is an integer number (625593780).

Almost surely, 220918715780 is an apocalyptic number.

20918715780 is a gapful number since it is divisible by the number (20) 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 20918715780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30028501440).

20918715780 is an abundant number, since it is smaller than the sum of its proper divisors (39138287100).

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

20918715780 is a wasteful number, since it uses less digits than its factorization.

20918715780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7989 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 48.

The spelling of 20918715780 in words is "twenty billion, nine hundred eighteen million, seven hundred fifteen thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 1277 2460 2554 3831 5108 6385 6659 7662 12770 13318 15324 19155 19977 25540 26636 33295 38310 39954 52357 66590 76620 79908 99885 104714 133180 157071 199770 209428 261785 273019 314142 399540 523570 546038 628284 785355 819057 1047140 1092076 1365095 1570710 1638114 2730190 3141420 3276228 4095285 5460380 8190570 8503543 16381140 17007086 25510629 34014172 42517715 51021258 85035430 102042516 127553145 170070860 255106290 348645263 510212580 697290526 1045935789 1394581052 1743226315 2091871578 3486452630 4183743156 5229678945 6972905260 10459357890 20918715780