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106678326656 = 2711101750157
BaseRepresentation
bin110001101011010000…
…1100001010110000000
3101012100121002111011102
41203112201201112000
53221434122423111
6121001330433532
710464405546416
oct1432641412600
9335317074142
10106678326656
1141273152830
12188124328a8
13a0a1299915
14523dda52b6
152b956b313b
hex18d6861580

106678326656 has 64 divisors (see below), whose sum is σ = 234139314960. Its totient is φ = 48009984000.

The previous prime is 106678326617. The next prime is 106678326661. The reversal of 106678326656 is 656623876601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1066783266562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 232871 + ... + 517286.

Almost surely, 2106678326656 is an apocalyptic number.

106678326656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106678326656 is an abundant number, since it is smaller than the sum of its proper divisors (127460988304).

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

106678326656 is a wasteful number, since it uses less digits than its factorization.

106678326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750283 (or 750271 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 56.

Subtracting 106678326656 from its reverse (656623876601), we obtain a palindrome (549945549945).

It can be divided in two parts, 106678 and 326656, that added together give a palindrome (433334).

The spelling of 106678326656 in words is "one hundred six billion, six hundred seventy-eight million, three hundred twenty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 101 128 176 202 352 404 704 808 1111 1408 1616 2222 3232 4444 6464 8888 12928 17776 35552 71104 142208 750157 1500314 3000628 6001256 8251727 12002512 16503454 24005024 33006908 48010048 66013816 75765857 96020096 132027632 151531714 264055264 303063428 528110528 606126856 833424427 1056221056 1212253712 1666848854 2424507424 3333697708 4849014848 6667395416 9698029696 13334790832 26669581664 53339163328 106678326656