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428124127398 = 231161191556753
BaseRepresentation
bin1100011101011100010…
…11111100000010100110
31111221001201002001220220
412032232023330002212
524003244234034043
6524402201505210
742634213016352
oct6165613740246
91457051061826
10428124127398
111556259aa5a0
126ab81aa2206
13314ab199846
1416a15424462
15b20a9cd483
hex63ae2fc0a6

428124127398 has 64 divisors (see below), whose sum is σ = 954374344704. Its totient is φ = 126939456000.

The previous prime is 428124127397. The next prime is 428124127427. The reversal of 428124127398 is 893721421824.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 428124127398.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428124127391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490590 + ... + 1047342.

It is an arithmetic number, because the mean of its divisors is an integer number (14912099136).

Almost surely, 2428124127398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428124127398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477187172352).

428124127398 is an abundant number, since it is smaller than the sum of its proper divisors (526250217306).

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

428124127398 is a wasteful number, since it uses less digits than its factorization.

428124127398 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557021.

The product of its digits is 1548288, while the sum is 51.

The spelling of 428124127398 in words is "four hundred twenty-eight billion, one hundred twenty-four million, one hundred twenty-seven thousand, three hundred ninety-eight".

Divisors: 1 2 3 6 11 22 33 61 66 122 183 191 366 382 573 671 1146 1342 2013 2101 4026 4202 6303 11651 12606 23302 34953 69906 128161 256322 384483 556753 768966 1113506 1670259 3340518 6124283 12248566 18372849 33961933 36745698 67923866 101885799 106339823 203771598 212679646 319019469 373581263 638038938 747162526 1120743789 1169738053 2241487578 2339476106 3509214159 6486729203 7018428318 12973458406 19460187609 38920375218 71354021233 142708042466 214062063699 428124127398