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349216683156 = 22351132661493
BaseRepresentation
bin1010001010011101110…
…11111011010010010100
31020101101111210120200000
411011032323323102110
521210143432330111
6424232233251300
734141625554455
oct5051673732224
91211344716600
10349216683156
11125113793860
125781bb63b30
1326c1450a233
1412c8b80b12c
15913d3c4c56
hex514eefb494

349216683156 has 72 divisors (see below), whose sum is σ = 998657840544. Its totient is φ = 105823234080.

The previous prime is 349216683131. The next prime is 349216683163. The reversal of 349216683156 is 651386612943.

349216683156 is a `hidden beast` number, since 3 + 492 + 1 + 66 + 83 + 15 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16320055 + ... + 16341438.

Almost surely, 2349216683156 is an apocalyptic number.

349216683156 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

349216683156 is an abundant number, since it is smaller than the sum of its proper divisors (649441157388).

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

349216683156 is a wasteful number, since it uses less digits than its factorization.

349216683156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32661523 (or 32661509 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 349216683156 in words is "three hundred forty-nine billion, two hundred sixteen million, six hundred eighty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 891 972 1188 1782 2673 3564 5346 10692 32661493 65322986 97984479 130645972 195968958 293953437 359276423 391937916 587906874 718552846 881860311 1077829269 1175813748 1437105692 1763720622 2155658538 2645580933 3233487807 3527441244 4311317076 5291161866 6466975614 7936742799 9700463421 10582323732 12933951228 15873485598 19400926842 29101390263 31746971196 38801853684 58202780526 87304170789 116405561052 174608341578 349216683156