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84498618006 = 232112611574051
BaseRepresentation
bin100111010110010000…
…0101001011010010110
322002002212001112202200
41032230200221122112
52341023121234011
6102452414345330
76050645254665
oct1165440513226
9262085045680
1084498618006
11329212a3400
12144624bb246
137c7814656a
144138404ddc
1522e83d7856
hex13ac829696

84498618006 has 144 divisors (see below), whose sum is σ = 205889624304. Its totient is φ = 25019280000.

The previous prime is 84498617999. The next prime is 84498618007. The reversal of 84498618006 is 60081689448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84498618007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20856681 + ... + 20860731.

Almost surely, 284498618006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84498618006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102944812152).

84498618006 is an abundant number, since it is smaller than the sum of its proper divisors (121391006298).

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

84498618006 is a wasteful number, since it uses less digits than its factorization.

84498618006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 84498618006 in words is "eighty-four billion, four hundred ninety-eight million, six hundred eighteen thousand, six".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 121 122 157 183 198 242 314 363 366 471 549 671 726 942 1089 1098 1342 1413 1727 2013 2178 2826 3454 4026 4051 5181 6039 7381 8102 9577 10362 12078 12153 14762 15543 18997 19154 22143 24306 28731 31086 36459 37994 44286 44561 56991 57462 66429 72918 86193 89122 105347 113982 132858 133683 170973 172386 210694 247111 267366 316041 341946 401049 490171 494222 632082 636007 741333 802098 948123 980342 1158817 1272014 1470513 1482666 1896246 1908021 2223999 2317634 2718221 2941026 3476451 3816042 4411539 4447998 5436442 5724063 6952902 6996077 8154663 8823078 10429353 11448126 13992154 16309326 20858706 20988231 24463989 29900431 38796427 41976462 48927978 59800862 62964693 76956847 77592854 89701293 116389281 125929386 153913694 179402586 230870541 232778562 269103879 349167843 426760697 461741082 538207758 692611623 698335686 853521394 1280282091 1385223246 2560564182 3840846273 4694367667 7681692546 9388735334 14083103001 28166206002 42249309003 84498618006