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398063831058 = 233172947318137
BaseRepresentation
bin1011100101011100111…
…01000000100000010010
31102001110202022210112000
411302232131000200102
523010213320043213
6502511253214430
740521251510415
oct5625635004022
91361422283460
10398063831058
111438aa722a83
1265192931416
132b6ca48294a
14153a2da1b7c
15a54b943c73
hex5cae740812

398063831058 has 128 divisors (see below), whose sum is σ = 989536435200. Its totient is φ = 118010640384.

The previous prime is 398063831057. The next prime is 398063831111. The reversal of 398063831058 is 850138360893.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 398063830995 and 398063831013.

It is not an unprimeable number, because it can be changed into a prime (398063831057) 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, 1092166 + ... + 1410302.

It is an arithmetic number, because the mean of its divisors is an integer number (7730753400).

Almost surely, 2398063831058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398063831058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494768217600).

398063831058 is an abundant number, since it is smaller than the sum of its proper divisors (591472604142).

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

398063831058 is a wasteful number, since it uses less digits than its factorization.

398063831058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318241 (or 318235 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 398063831058 in words is "three hundred ninety-eight billion, sixty-three million, eight hundred thirty-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 17 18 27 29 34 47 51 54 58 87 94 102 141 153 174 261 282 306 423 459 493 522 783 799 846 918 986 1269 1363 1479 1566 1598 2397 2538 2726 2958 4089 4437 4794 7191 8178 8874 12267 13311 14382 21573 23171 24534 26622 36801 43146 46342 69513 73602 139026 208539 318137 417078 625617 636274 954411 1251234 1908822 2863233 5408329 5726466 8589699 9225973 10816658 14952439 16224987 17179398 18451946 27677919 29904878 32449974 44857317 48674961 55355838 83033757 89714634 97349922 134571951 146024883 156841541 166067514 249101271 254191463 269143902 292049766 313683082 403715853 433620731 470524623 498202542 508382926 762574389 807431706 867241462 941049246 1300862193 1411573869 1525148778 2287723167 2601724386 2823147738 3902586579 4234721607 4575446334 6863169501 7371552427 7805173158 8469443214 11707759737 13726339002 14743104854 22114657281 23415519474 44229314562 66343971843 132687943686 199031915529 398063831058