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22494708537168 = 2437219503372461
BaseRepresentation
bin1010001110101011101010…
…00111001001011101010000
32221122110202220200220110110
411013111311013021131100
510422023130341142133
6115501532040001320
74511121563510100
oct507256507113520
987573686626413
1022494708537168
117192a52595a3a
122633760460240
13c7231b63827a
1457aa6d27d200
1529021416ac63
hex1475751c9750

22494708537168 has 120 divisors (see below), whose sum is σ = 71156731228320. Its totient is φ = 6088793276160.

The previous prime is 22494708537167. The next prime is 22494708537173. The reversal of 22494708537168 is 86173580749422.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 22494708537099 and 22494708537108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22494708537167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251641543 + ... + 251730918.

It is an arithmetic number, because the mean of its divisors is an integer number (592972760236).

It is a 1-persistent number, because it is pandigital, but 2⋅22494708537168 = 44989417074336 is not.

Almost surely, 222494708537168 is an apocalyptic number.

22494708537168 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

22494708537168 is an abundant number, since it is smaller than the sum of its proper divisors (48662022691152).

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

22494708537168 is a wasteful number, since it uses less digits than its factorization.

22494708537168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503372505 (or 503372492 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 66.

The spelling of 22494708537168 in words is "twenty-two trillion, four hundred ninety-four billion, seven hundred eight million, five hundred thirty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 49 56 57 76 84 98 112 114 133 147 152 168 196 228 266 294 304 336 392 399 456 532 588 784 798 912 931 1064 1176 1596 1862 2128 2352 2793 3192 3724 5586 6384 7448 11172 14896 22344 44688 503372461 1006744922 1510117383 2013489844 3020234766 3523607227 4026979688 6040469532 7047214454 8053959376 9564076759 10570821681 12080939064 14094428908 19128153518 21141643362 24161878128 24665250589 28188857816 28692230277 38256307036 42283286724 49330501178 56377715632 57384460554 66948537313 73995751767 76512614072 84566573448 98661002356 114768921108 133897074626 147991503534 153025228144 169133146896 197322004712 200845611939 229537842216 267794149252 295983007068 394644009424 401691223878 459075684432 468639761191 535588298504 591966014136 803382447756 937279522382 1071176597008 1183932028272 1405919283573 1606764895512 1874559044764 2811838567146 3213529791024 3749118089528 5623677134292 7498236179056 11247354268584 22494708537168