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22053640662256 = 24729181241155657
BaseRepresentation
bin1010000001110110000110…
…11010101110110011110000
32220002022022010200022222111
411000323003122232303300
510342311324002143011
6114523145212415104
74434215526441250
oct500730332566360
986068263608874
1022053640662256
117032995242355
122582187777494
13c3c859934038
1456358ab73960
152839ec14d121
hex140ec36aecf0

22053640662256 has 160 divisors (see below), whose sum is σ = 51007159082880. Its totient is φ = 9037511884800.

The previous prime is 22053640662247. The next prime is 22053640662289. The reversal of 22053640662256 is 65226604635022.

It is a super-2 number, since 2×220536406622562 (a number of 27 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 31 ways as a sum of consecutive naturals, for example, 141603180 + ... + 141758836.

It is an arithmetic number, because the mean of its divisors is an integer number (318794744268).

Almost surely, 222053640662256 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 22053640662256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25503579541440).

22053640662256 is an abundant number, since it is smaller than the sum of its proper divisors (28953518420624).

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

22053640662256 is a wasteful number, since it uses less digits than its factorization.

22053640662256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156123 (or 156117 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 49.

The spelling of 22053640662256 in words is "twenty-two trillion, fifty-three billion, six hundred forty million, six hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 181 203 232 241 362 406 464 482 724 812 964 1267 1448 1624 1687 1928 2534 2896 3248 3374 3856 5068 5249 6748 6989 10136 10498 13496 13978 20272 20996 26992 27956 36743 41992 43621 48923 55912 73486 83984 87242 97846 111824 146972 155657 174484 195692 293944 305347 311314 348968 391384 587888 610694 622628 697936 782768 1089599 1221388 1245256 1265009 2179198 2442776 2490512 2530018 4358396 4514053 4885552 5060036 8716792 8855063 9028106 10120072 17433584 17710126 18056212 20240144 28173917 31598371 35420252 36112424 37513337 56347834 63196742 70840504 72224848 75026674 112695668 126393484 141681008 150053348 197217419 225391336 252786968 262593359 300106696 394434838 450782672 505573936 525186718 600213392 788869676 817043593 1050373436 1087886773 1577739352 1634087186 2100746872 2175773546 3155478704 3268174372 4201493744 4351547092 5719305151 6536348744 6789913997 7615207411 8703094184 11438610302 13072697488 13579827994 15230414822 17406188368 22877220604 27159655988 30460829644 45754441208 47529397979 54319311976 60921659288 91508882416 95058795958 108638623952 121843318576 190117591916 196907505913 380235183832 393815011826 760470367664 787630023652 1378352541391 1575260047304 2756705082782 3150520094608 5513410165564 11026820331128 22053640662256