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42493428198 = 23313415412729
BaseRepresentation
bin100111100100110011…
…100100000111100110
311001200102212210222000
4213210303210013212
51144011304200243
631304325350130
73033012115524
oct474463440746
9131612783860
1042493428198
1117026483601
12829ab68346
134012820670
1420b17cb314
15118a8655d3
hex9e4ce41e6

42493428198 has 128 divisors (see below), whose sum is σ = 104404809600. Its totient is φ = 12727756800.

The previous prime is 42493428193. The next prime is 42493428227. The reversal of 42493428198 is 89182439424.

It is a happy number.

42493428198 is a `hidden beast` number, since 4 + 24 + 9 + 3 + 428 + 198 = 666.

42493428198 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42493428193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15569698 + ... + 15572426.

It is an arithmetic number, because the mean of its divisors is an integer number (815662575).

Almost surely, 242493428198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42493428198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52202404800).

42493428198 is an abundant number, since it is smaller than the sum of its proper divisors (61911381402).

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

42493428198 is a wasteful number, since it uses less digits than its factorization.

42493428198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3335 (or 3329 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 42493428198 in words is "forty-two billion, four hundred ninety-three million, four hundred twenty-eight thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 41 54 78 82 117 123 234 246 351 369 533 541 702 738 1066 1082 1107 1599 1623 2214 2729 3198 3246 4797 4869 5458 7033 8187 9594 9738 14066 14391 14607 16374 21099 22181 24561 28782 29214 35477 42198 44362 49122 63297 66543 70954 73683 106431 111889 126594 133086 147366 189891 199629 212862 223778 288353 319293 335667 379782 399258 576706 598887 638586 671334 865059 957879 1007001 1197774 1454557 1476389 1730118 1915758 2014002 2595177 2909114 2952778 3021003 4363671 4429167 5190354 6042006 7785531 8727342 8858334 13091013 13287501 15571062 19193057 26182026 26575002 38386114 39273039 39862503 57579171 60531949 78546078 79725006 115158342 121063898 172737513 181595847 345475026 363191694 518212539 544787541 786915337 1036425078 1089575082 1573830674 1634362623 2360746011 3268725246 4721492022 7082238033 14164476066 21246714099 42493428198