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217432613104 = 247171014111261
BaseRepresentation
bin1100101001111111111…
…1100110000011110000
3202210020020211012000121
43022133333212003300
512030300222104404
6243515343300024
721465116500630
oct3123777460360
9683206735017
10217432613104
1184238050473
12361818aa614
1317671b32365
14a7494146c0
1559c8b02e54
hex329ffe60f0

217432613104 has 80 divisors (see below), whose sum is σ = 509874526656. Its totient is φ = 87687475200.

The previous prime is 217432613081. The next prime is 217432613119. The reversal of 217432613104 is 401316234712.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 217432613104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19302834 + ... + 19314094.

Almost surely, 2217432613104 is an apocalyptic number.

It is an amenable number.

217432613104 is an abundant number, since it is smaller than the sum of its proper divisors (292441913552).

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

217432613104 is a wasteful number, since it uses less digits than its factorization.

217432613104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21434 (or 21428 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

Adding to 217432613104 its reverse (401316234712), we get a palindrome (618748847816).

The spelling of 217432613104 in words is "two hundred seventeen billion, four hundred thirty-two million, six hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 10141 11261 20282 22522 40564 45044 70987 78827 81128 90088 141974 157654 162256 172397 180176 191437 283948 315308 344794 382874 567896 630616 689588 765748 1135792 1206779 1261232 1340059 1379176 1531496 2413558 2680118 2758352 3062992 4827116 5360236 9654232 10720472 19308464 21440944 114197801 228395602 456791204 799384607 913582408 1598769214 1827164816 1941362617 3197538428 3882725234 6395076856 7765450468 12790153712 13589538319 15530900936 27179076638 31061801872 54358153276 108716306552 217432613104