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88314746146 = 21119229547701
BaseRepresentation
bin101001000111111111…
…0000001010100100010
322102221210202221102221
41102033332001110202
52421332033334041
6104323215301254
76244343646004
oct1221776012442
9272853687387
1088314746146
11344aa40aa10
121514851a82a
138435939953
1443bb174374
15246d43c2d1
hex148ff81522

88314746146 has 96 divisors (see below), whose sum is σ = 158294710080. Its totient is φ = 36599472000.

The previous prime is 88314746137. The next prime is 88314746183. The reversal of 88314746146 is 64164741388.

It is a junction number, because it is equal to n+sod(n) for n = 88314746093 and 88314746102.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 125983596 + ... + 125984296.

It is an arithmetic number, because the mean of its divisors is an integer number (1648903230).

Almost surely, 288314746146 is an apocalyptic number.

88314746146 is a deficient number, since it is larger than the sum of its proper divisors (69979963934).

88314746146 is a wasteful number, since it uses less digits than its factorization.

88314746146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1309 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 52.

The spelling of 88314746146 in words is "eighty-eight billion, three hundred fourteen million, seven hundred forty-six thousand, one hundred forty-six".

Divisors: 1 2 11 19 22 29 38 58 209 319 361 418 547 551 638 701 722 1094 1102 1402 3971 6017 6061 7711 7942 10393 10469 12034 12122 13319 15422 15863 20329 20786 20938 26638 31726 40658 114323 115159 146509 174493 197467 223619 228646 230318 253061 293018 301397 348986 383447 386251 394934 447238 506122 602794 766894 772502 2172137 2783671 3315367 4217917 4248761 4344274 5567342 5726543 6630734 7285493 7338769 8435834 8497522 11119963 11453086 14570986 14677538 22239926 62991973 80140423 80726459 122319593 125983946 138424367 160280846 161452918 211279297 244639186 276848734 422558594 1522668037 2324072267 3045336074 4014306643 4648144534 8028613286 44157373073 88314746146