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205550345664312 = 2331131191131498023
BaseRepresentation
bin101110101111001001101011…
…010101100011011100111000
3222221210102101000012122010220
4232233021223111203130320
5203420214101442224222
62005100305235340040
761203344120120625
oct5657115325433470
9887712330178126
10205550345664312
115a549459494040
121b07904aa51620
138a90411a3950c
1438a8992bbd34c
1518b6c822b7b5c
hexbaf26b563738

205550345664312 has 128 divisors (see below), whose sum is σ = 581705178808320. Its totient is φ = 59963098032000.

The previous prime is 205550345664211. The next prime is 205550345664317. The reversal of 205550345664312 is 213466543055502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205550345664317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64185868 + ... + 67312155.

It is an arithmetic number, because the mean of its divisors is an integer number (4544571709440).

Almost surely, 2205550345664312 is an apocalyptic number.

205550345664312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

205550345664312 is an abundant number, since it is smaller than the sum of its proper divisors (376154833144008).

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

205550345664312 is a wasteful number, since it uses less digits than its factorization.

205550345664312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131498265 (or 131498261 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 51.

The spelling of 205550345664312 in words is "two hundred five trillion, five hundred fifty billion, three hundred forty-five million, six hundred sixty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 191 248 264 341 372 382 573 682 744 764 1023 1146 1364 1528 2046 2101 2292 2728 4092 4202 4584 5921 6303 8184 8404 11842 12606 16808 17763 23684 25212 35526 47368 50424 65131 71052 130262 142104 195393 260524 390786 521048 781572 1563144 131498023 262996046 394494069 525992092 788988138 1051984184 1446478253 1577976276 2892956506 3155952552 4076438713 4339434759 5785913012 8152877426 8678869518 11571826024 12229316139 16305754852 17357739036 24458632278 25116122393 32611509704 34715478072 44840825843 48917264556 50232244786 75348367179 89681651686 97834529112 100464489572 134522477529 150696734358 179363303372 200928979144 269044955058 276277346323 301393468716 358726606744 538089910116 552554692646 602786937432 778599794183 828832038969 1076179820232 1105109385292 1557199588366 1657664077938 2210218770584 2335799382549 3114399176732 3315328155876 4671598765098 6228798353464 6630656311752 8564597736013 9343197530196 17129195472026 18686395060392 25693793208039 34258390944052 51387586416078 68516781888104 102775172832156 205550345664312