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5642423858772 = 2234531971667933
BaseRepresentation
bin101001000011011101010…
…1010110111011001010100
3201222102002012221111120000
41102012322222313121110
51214421141001440042
620000032125211300
71121436344314461
oct122067252673124
921872065844500
105642423858772
111885a36197068
12771658400b30
1331c102cc458c
141571480a8668
159bb8bc6174c
hex521baab7654

5642423858772 has 120 divisors (see below), whose sum is σ = 15105017127816. Its totient is φ = 1835952797952.

The previous prime is 5642423858749. The next prime is 5642423858777. The reversal of 5642423858772 is 2778583242465.

It is a happy number.

5642423858772 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 42 + 3 + 8 + 587 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1742099052996 + 3900324805776 = 1319886^2 + 1974924^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642423858777) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2548918 + ... + 4216850.

Almost surely, 25642423858772 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 5642423858772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552508563908).

5642423858772 is an abundant number, since it is smaller than the sum of its proper divisors (9462593269044).

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

5642423858772 is a wasteful number, since it uses less digits than its factorization.

5642423858772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668199 (or 1668188 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 63.

The spelling of 5642423858772 in words is "five trillion, six hundred forty-two billion, four hundred twenty-three million, eight hundred fifty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 197 212 318 324 394 477 591 636 788 954 1182 1431 1773 1908 2364 2862 3546 4293 5319 5724 7092 8586 10441 10638 15957 17172 20882 21276 31323 31914 41764 62646 63828 93969 125292 187938 281907 375876 563814 845721 1127628 1667933 1691442 3335866 3382884 5003799 6671732 10007598 15011397 20015196 30022794 45034191 60045588 88400449 90068382 135102573 176800898 180136764 265201347 270205146 328582801 353601796 530402694 540410292 657165602 795604041 985748403 1060805388 1314331204 1591208082 1971496806 2386812123 2957245209 3182416164 3942993612 4773624246 5914490418 7160436369 8871735627 9547248492 11828980836 14320872738 17414888453 17743471254 26615206881 28641745476 34829776906 35486942508 52244665359 53230413762 69659553812 104489330718 106460827524 156733996077 208978661436 313467992154 470201988231 626935984308 940403976462 1410605964693 1880807952924 2821211929386 5642423858772