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997677589086 = 233192350878311
BaseRepresentation
bin11101000010010100011…
…01111110001001011110
310112101011212101201122000
432201022031332021132
5112321220430322321
62042154325103130
7132036244404513
oct16411215761136
93471155351560
10997677589086
11355126a98232
12141434257aa6
13731080a7ab9
1436405c2330a
151ae42919826
hexe84a37e25e

997677589086 has 128 divisors (see below), whose sum is σ = 2435987865600. Its totient is φ = 301262496480.

The previous prime is 997677589061. The next prime is 997677589091. The reversal of 997677589086 is 680985776799.

It is a junction number, because it is equal to n+sod(n) for n = 997677588996 and 997677589014.

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, 120038871 + ... + 120047181.

It is an arithmetic number, because the mean of its divisors is an integer number (19031155200).

Almost surely, 2997677589086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997677589086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217993932800).

997677589086 is an abundant number, since it is smaller than the sum of its proper divisors (1438310276514).

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

997677589086 is a wasteful number, since it uses less digits than its factorization.

997677589086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13451 (or 13445 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 81.

The spelling of 997677589086 in words is "nine hundred ninety-seven billion, six hundred seventy-seven million, five hundred eighty-nine thousand, eighty-six".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 513 621 874 1026 1242 1311 2622 3933 5087 7866 8311 10174 11799 15261 16622 23598 24933 30522 45783 49866 74799 91566 96653 117001 137349 149598 157909 191153 193306 224397 234002 274698 289959 315818 351003 382306 448794 473727 573459 579918 702006 869877 947454 1053009 1146918 1421181 1720377 1739754 2106018 2223019 2609631 2842362 3159027 3440754 3631907 4263543 4446038 5161131 5219262 6318054 6669057 7263814 8527086 10322262 10895721 13338114 20007171 21791442 32687163 40014342 42278057 60021513 65374326 84556114 98061489 120043026 126834171 196122978 253668342 380502513 761005026 803283083 972395311 1141507539 1606566166 1944790622 2283015078 2409849249 2917185933 4819698498 5834371866 7229547747 8751557799 14459095494 17503115598 18475510909 21688643241 26254673397 36951021818 43377286482 52509346794 55426532727 110853065454 166279598181 332559196362 498838794543 997677589086