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2522135044352 = 28711167766163
BaseRepresentation
bin100100101100111010111…
…101101010000100000000
322221010001221001022201002
4210230322331222010000
5312310313032404402
65210353003031132
7350134600103420
oct44547275520400
98833057038632
102522135044352
118926a4531770
12348981b0b4a8
13153ab44c7911
148a101768480
1545917017602
hex24b3af6a100

2522135044352 has 144 divisors (see below), whose sum is σ = 6314270118912. Its totient is φ = 976764610560.

The previous prime is 2522135044343. The next prime is 2522135044399. The reversal of 2522135044352 is 2534405312252.

It is a super-2 number, since 2×25221350443522 (a number of 26 digits) contains 22 as substring.

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, 2908823 + ... + 3674985.

It is an arithmetic number, because the mean of its divisors is an integer number (43849098048).

Almost surely, 22522135044352 is an apocalyptic number.

2522135044352 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 2522135044352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157135059456).

2522135044352 is an abundant number, since it is smaller than the sum of its proper divisors (3792135074560).

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

2522135044352 is a wasteful number, since it uses less digits than its factorization.

2522135044352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766364 (or 766350 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 38.

The spelling of 2522135044352 in words is "two trillion, five hundred twenty-two billion, one hundred thirty-five million, forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 167 176 224 256 308 334 352 448 616 668 704 896 1169 1232 1336 1408 1792 1837 2338 2464 2672 2816 3674 4676 4928 5344 7348 9352 9856 10688 12859 14696 18704 19712 21376 25718 29392 37408 42752 51436 58784 74816 102872 117568 149632 205744 235136 299264 411488 470272 766163 822976 1532326 1645952 3064652 3291904 5363141 6129304 8427793 10726282 12258608 16855586 21452564 24517216 33711172 42905128 49034432 58994551 67422344 85810256 98068864 117989102 127949221 134844688 171620512 196137728 235978204 255898442 269689376 343241024 471956408 511796884 539378752 686482048 895644547 943912816 1023593768 1078757504 1372964096 1407441431 1791289094 1887825632 2047187536 2157515008 2814882862 3582578188 3775651264 4094375072 5629765724 7165156376 7551302528 8188750144 9852090017 11259531448 14330312752 15102605056 16377500288 19704180034 22519062896 28660625504 32755000576 39408360068 45038125792 57321251008 78816720136 90076251584 114642502016 157633440272 180152503168 229285004032 315266880544 360305006336 630533761088 1261067522176 2522135044352