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20681782140 = 22351721192721
BaseRepresentation
bin10011010000101110…
…101111001101111100
31222101100102101112010
4103100232233031330
5314324014012030
613300122211220
71331341150635
oct232056571574
958340371463
1020681782140
118853366038
124012353b10
131c47a08b16
141002a7a88c
15810a406b0
hex4d0baf37c

20681782140 has 72 divisors (see below), whose sum is σ = 61515829872. Its totient is φ = 5190717440.

The previous prime is 20681782127. The next prime is 20681782181. The reversal of 20681782140 is 4128718602.

It is a happy number.

It is a super-2 number, since 2×206817821402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 579021 + ... + 613700.

It is an arithmetic number, because the mean of its divisors is an integer number (854386526).

Almost surely, 220681782140 is an apocalyptic number.

20681782140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20681782140 is an abundant number, since it is smaller than the sum of its proper divisors (40834047732).

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

20681782140 is a wasteful number, since it uses less digits than its factorization.

20681782140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192767 (or 1192748 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 20681782140 in words is "twenty billion, six hundred eighty-one million, seven hundred eighty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 289 340 510 578 867 1020 1156 1445 1734 2890 3468 4335 5780 8670 17340 1192721 2385442 3578163 4770884 5963605 7156326 11927210 14312652 17890815 20276257 23854420 35781630 40552514 60828771 71563260 81105028 101381285 121657542 202762570 243315084 304143855 344696369 405525140 608287710 689392738 1034089107 1216575420 1378785476 1723481845 2068178214 3446963690 4136356428 5170445535 6893927380 10340891070 20681782140