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20355291792 = 243311335401
BaseRepresentation
bin10010111101010001…
…010001101010010000
31221112121001221222000
4102331101101222100
5313141423314132
613203500314000
71320265061013
oct227521215220
957477057860
1020355291792
1186a6039000
123b40b42900
131bc5194674
14db156d37a
157e204c87c
hex4bd451a90

20355291792 has 160 divisors (see below), whose sum is σ = 64267374720. Its totient is φ = 6168096000.

The previous prime is 20355291791. The next prime is 20355291799. The reversal of 20355291792 is 29719255302.

20355291792 is a `hidden beast` number, since 2 + 0 + 3 + 552 + 9 + 1 + 7 + 92 = 666.

It is not an unprimeable number, because it can be changed into a prime (20355291791) 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, 557292 + ... + 592692.

It is an arithmetic number, because the mean of its divisors is an integer number (401671092).

Almost surely, 220355291792 is an apocalyptic number.

20355291792 is a gapful number since it is divisible by the number (22) 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 20355291792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32133687360).

20355291792 is an abundant number, since it is smaller than the sum of its proper divisors (43912082928).

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

20355291792 is a wasteful number, since it uses less digits than its factorization.

20355291792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35451 (or 35417 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 20355291792 in words is "twenty billion, three hundred fifty-five million, two hundred ninety-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 121 132 144 176 198 216 242 264 297 363 396 432 484 528 594 726 792 968 1089 1188 1331 1452 1584 1936 2178 2376 2662 2904 3267 3993 4356 4752 5324 5808 6534 7986 8712 10648 11979 13068 15972 17424 21296 23958 26136 31944 35401 35937 47916 52272 63888 70802 71874 95832 106203 141604 143748 191664 212406 283208 287496 318609 389411 424812 566416 574992 637218 778822 849624 955827 1168233 1274436 1557644 1699248 1911654 2336466 2548872 3115288 3504699 3823308 4283521 4672932 5097744 6230576 7009398 7646616 8567042 9345864 10514097 12850563 14018796 15293232 17134084 18691728 21028194 25701126 28037592 34268168 38551689 42056388 47118731 51402252 56075184 68536336 77103378 84112776 94237462 102804504 115655067 141356193 154206756 168225552 188474924 205609008 231310134 282712386 308413512 376949848 424068579 462620268 565424772 616827024 753899696 848137158 925240536 1130849544 1272205737 1696274316 1850481072 2261699088 2544411474 3392548632 5088822948 6785097264 10177645896 20355291792