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20232522354144 = 253318381910393
BaseRepresentation
bin1001001100110110000000…
…10011101100110111100000
32122122012200021021221221010
410212123000103230313200
510122442201210313034
6111010405323100520
74155515523305622
oct446330023546740
978565607257833
1020232522354144
1164a0623454271
122329246971740
13b39bc3423239
144dd38b776c12
152514635c83e9
hex1266c04ecde0

20232522354144 has 96 divisors (see below), whose sum is σ = 55484135046144. Its totient is φ = 6447986058240.

The previous prime is 20232522354133. The next prime is 20232522354157. The reversal of 20232522354144 is 44145322523202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40708189 + ... + 41202204.

It is an arithmetic number, because the mean of its divisors is an integer number (577959740064).

Almost surely, 220232522354144 is an apocalyptic number.

20232522354144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20232522354144 is an abundant number, since it is smaller than the sum of its proper divisors (35251612692000).

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

20232522354144 is a wasteful number, since it uses less digits than its factorization.

20232522354144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81910520 (or 81910512 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 39.

Adding to 20232522354144 its reverse (44145322523202), we get a palindrome (64377844877346).

The spelling of 20232522354144 in words is "twenty trillion, two hundred thirty-two billion, five hundred twenty-two million, three hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 83 93 96 124 166 186 248 249 332 372 496 498 664 744 992 996 1328 1488 1992 2573 2656 2976 3984 5146 7719 7968 10292 15438 20584 30876 41168 61752 82336 123504 247008 81910393 163820786 245731179 327641572 491462358 655283144 982924716 1310566288 1965849432 2539222183 2621132576 3931698864 5078444366 6798562619 7617666549 7863397728 10156888732 13597125238 15235333098 20313777464 20395687857 27194250476 30470666196 40627554928 40791375714 54388500952 60941332392 81255109856 81582751428 108777001904 121882664784 163165502856 210755441189 217554003808 243765329568 326331005712 421510882378 632266323567 652662011424 843021764756 1264532647134 1686043529512 2529065294268 3372087059024 5058130588536 6744174118048 10116261177072 20232522354144