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84217417086 = 2311471092331069
BaseRepresentation
bin100111001101110111…
…1111100110101111110
322001101020221001121210
41032123233330311332
52334434124321321
6102404451305250
76040662143145
oct1163357746576
9261336831553
1084217417086
1132797599a50
12143a42ab226
137c31acb39a
14410cd2675c
1522cd88db76
hex139bbfcd7e

84217417086 has 128 divisors (see below), whose sum is σ = 190368921600. Its totient is φ = 24619023360.

The previous prime is 84217417061. The next prime is 84217417093. The reversal of 84217417086 is 68071471248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78780960 + ... + 78782028.

It is an arithmetic number, because the mean of its divisors is an integer number (1487257200).

Almost surely, 284217417086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84217417086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95184460800).

84217417086 is an abundant number, since it is smaller than the sum of its proper divisors (106151504514).

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

84217417086 is a wasteful number, since it uses less digits than its factorization.

84217417086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474.

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 84217417086 in words is "eighty-four billion, two hundred seventeen million, four hundred seventeen thousand, eighty-six".

Divisors: 1 2 3 6 11 22 33 47 66 94 109 141 218 233 282 327 466 517 654 699 1034 1069 1199 1398 1551 2138 2398 2563 3102 3207 3597 5123 5126 6414 7194 7689 10246 10951 11759 15369 15378 21902 23518 25397 30738 32853 35277 50243 50794 56353 65706 70554 76191 100486 112706 116521 120461 150729 152382 169059 233042 240922 249077 279367 301458 338118 349563 361383 498154 552673 558734 699126 722766 747231 838101 1105346 1193659 1281731 1494462 1658019 1676202 2387318 2563462 2739847 3316038 3580977 3845193 5476487 5479694 7161954 7690386 8219541 10952974 11706619 13130249 16429461 16439082 23413238 26260498 27149393 32858922 35119857 39390747 54298786 60241357 70239714 78781494 81448179 120482714 128772809 162896358 180724071 257545618 298643323 361448142 386318427 597286646 772636854 895929969 1276021471 1791859938 2552042942 3828064413 7656128826 14036236181 28072472362 42108708543 84217417086