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11970782223078 = 23721447263310687
BaseRepresentation
bin1010111000110010101000…
…1110001101101011100110
31120101101200101200020202110
42232030222032031223212
53032112130222114303
641243145035421450
72343601100010300
oct256145216155346
946341611606673
1011970782223078
1138a586453a628
1214140268b4886
1368aabc3c50a3
142d55633d2970
1515b5c2d0b703
hexae32a38dae6

11970782223078 has 96 divisors (see below), whose sum is σ = 27882831826944. Its totient is φ = 3416242048128.

The previous prime is 11970782223073. The next prime is 11970782223079. The reversal of 11970782223078 is 87032228707911.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11970782223073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1120120251 + ... + 1120130937.

It is an arithmetic number, because the mean of its divisors is an integer number (290446164864).

Almost surely, 211970782223078 is an apocalyptic number.

11970782223078 is an abundant number, since it is smaller than the sum of its proper divisors (15912049603866).

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

11970782223078 is a wasteful number, since it uses less digits than its factorization.

11970782223078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14786 (or 14779 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 11970782223078 in words is "eleven trillion, nine hundred seventy billion, seven hundred eighty-two million, two hundred twenty-three thousand, seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 1447 2633 2894 4341 5266 7899 8682 10129 10687 15798 18431 20258 21374 30387 32061 36862 55293 60774 64122 70903 74809 110586 129017 141806 149618 212709 224427 258034 387051 425418 448854 523663 774102 1047326 1570989 3141978 3809951 7619902 11429853 15464089 22859706 26669657 28138871 30928178 46392267 53339314 56277742 80008971 84416613 92784534 108248623 160017942 168833226 186687599 196972097 216497246 324745869 373375198 393944194 560062797 590916291 649491738 757740361 1120125594 1181832582 1378804679 1515480722 2273221083 2757609358 4136414037 4546442166 8272828074 40716946337 81433892674 122150839011 244301678022 285018624359 570037248718 855055873077 1710111746154 1995130370513 3990260741026 5985391111539 11970782223078