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20243828940288 = 293173222134301
BaseRepresentation
bin1001001101001011000100…
…01110111001111000000000
32122200021212020122001021220
410212211202032321320000
510123133330202042123
6111015515302315040
74156365644561622
oct446454216717000
978607766561256
1020243828940288
1164a53a5754838
12232b481428a80
13b3aca5a133b5
144ddb41252c12
152518c6027ce3
hex1269623b9e00

20243828940288 has 160 divisors (see below), whose sum is σ = 54268569080352. Its totient is φ = 6705721344000.

The previous prime is 20243828940287. The next prime is 20243828940301. The reversal of 20243828940288 is 88204982834202.

It is a super-2 number, since 2×202438289402882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20243828940287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590164738 + ... + 590199038.

Almost surely, 220243828940288 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 20243828940288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27134284540176).

20243828940288 is an abundant number, since it is smaller than the sum of its proper divisors (34024740140064).

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

20243828940288 is a wasteful number, since it uses less digits than its factorization.

20243828940288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36716 (or 36700 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 20243828940288 in words is "twenty trillion, two hundred forty-three billion, eight hundred twenty-eight million, nine hundred forty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 256 346 384 512 519 692 768 1038 1384 1536 2076 2221 2768 4152 4442 5536 6663 8304 8884 11072 13326 16608 17768 22144 26652 33216 34301 35536 44288 53304 66432 68602 71072 88576 102903 106608 132864 137204 142144 205806 213216 265728 274408 284288 384233 411612 426432 548816 568576 768466 823224 852864 1097632 1137152 1152699 1536932 1646448 1705728 2195264 2305398 3073864 3292896 3411456 4390528 4610796 5934073 6147728 6585792 8781056 9221592 11868146 12295456 13171584 17562112 17802219 18443184 23736292 24590912 26343168 35604438 36886368 47472584 49181824 52686336 71208876 73772736 76182521 94945168 98363648 142417752 147545472 152365042 189890336 196727296 228547563 284835504 295090944 304730084 379780672 457095126 569671008 590181888 609460168 759561344 914190252 1139342016 1218920336 1519122688 1828380504 2278684032 2437840672 3038245376 3656761008 4557368064 4875681344 7313522016 9114736128 9751362688 13179576133 14627044032 19502725376 26359152266 29254088064 39005450752 39538728399 52718304532 58508176128 79077456798 105436609064 117016352256 158154913596 210873218128 316309827192 421746436256 632619654384 843492872512 1265239308768 1686985745024 2530478617536 3373971490048 5060957235072 6747942980096 10121914470144 20243828940288