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105066662208 = 2632931608701
BaseRepresentation
bin110000111011001110…
…1100000100101000000
3101001012021110110011120
41201312131200211000
53210134031142313
6120133355112240
710406435615304
oct1416635404500
9331167413146
10105066662208
1140616434442
1218442742680
139ba540b811
145129d15d04
152aede5cd23
hex1876760940

105066662208 has 112 divisors (see below), whose sum is σ = 296851791360. Its totient is φ = 32723712000.

The previous prime is 105066662189. The next prime is 105066662221. The reversal of 105066662208 is 802266660501.

It is a super-2 number, since 2×1050666622082 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 105066662208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131743 + ... + 476958.

Almost surely, 2105066662208 is an apocalyptic number.

It is an amenable number.

105066662208 is an abundant number, since it is smaller than the sum of its proper divisors (191785129152).

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

105066662208 is a wasteful number, since it uses less digits than its factorization.

105066662208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608776 (or 608766 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 105066662208 in words is "one hundred five billion, sixty-six million, six hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 174 186 192 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 5394 5568 5952 7192 10788 14384 21576 28768 43152 57536 86304 172608 608701 1217402 1826103 2434804 3652206 4869608 7304412 9739216 14608824 17652329 18869731 19478432 29217648 35304658 37739462 38956864 52956987 56609193 58435296 70609316 75478924 105913974 113218386 116870592 141218632 150957848 211827948 226436772 282437264 301915696 423655896 452873544 547222199 564874528 603831392 847311792 905747088 1094444398 1129749056 1207662784 1641666597 1694623584 1811494176 2188888796 3283333194 3389247168 3622988352 4377777592 6566666388 8755555184 13133332776 17511110368 26266665552 35022220736 52533331104 105066662208