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5623105152 = 27372298847
BaseRepresentation
bin1010011110010100…
…11100011010000000
3112111212212100010210
411033022130122000
543004003331102
62325550354120
7256226414400
oct51712343200
915455770123
105623105152
112426107145
12110b1bb940
136b7c87072
143b4b40800
1522d9da36c
hex14f29c680

5623105152 has 96 divisors (see below), whose sum is σ = 17375022720. Its totient is φ = 1606596096.

The previous prime is 5623105151. The next prime is 5623105193. The reversal of 5623105152 is 2515013265.

It is a happy number.

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

It is a super-3 number, since 3×56231051523 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5623105151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130608 + ... + 168239.

It is an arithmetic number, because the mean of its divisors is an integer number (180989820).

Almost surely, 25623105152 is an apocalyptic number.

It is an amenable number.

5623105152 is an abundant number, since it is smaller than the sum of its proper divisors (11751917568).

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

5623105152 is a wasteful number, since it uses less digits than its factorization.

5623105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298878 (or 298859 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 5623105152 is about 74987.3666159841. The cubic root of 5623105152 is about 1778.2469328644.

The spelling of 5623105152 in words is "five billion, six hundred twenty-three million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 298847 597694 896541 1195388 1793082 2091929 2390776 3586164 4183858 4781552 6275787 7172328 8367716 9563104 12551574 14344656 14643503 16735432 19126208 25103148 28689312 29287006 33470864 38252416 43930509 50206296 57378624 58574012 66941728 87861018 100412592 114757248 117148024 133883456 175722036 200825184 234296048 267766912 351444072 401650368 468592096 702888144 803300736 937184192 1405776288 1874368384 2811552576 5623105152