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106457822656 = 2654711932549
BaseRepresentation
bin110001100100101100…
…0010111010111000000
3101011210020011201112121
41203021120113113000
53221011200311111
6120523412334024
710456060363543
oct1431130272700
9334706151477
10106457822656
114116a735919
1218770614314
13a0676b3993
14521c9a685a
152b81158871
hex18c96175c0

106457822656 has 56 divisors (see below), whose sum is σ = 211898941200. Its totient is φ = 53066237952.

The previous prime is 106457822651. The next prime is 106457822659. The reversal of 106457822656 is 656228754601.

It is a super-2 number, since 2×1064578226562 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106457822651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41763270 + ... + 41765818.

Almost surely, 2106457822656 is an apocalyptic number.

106457822656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106457822656 is a deficient number, since it is larger than the sum of its proper divisors (105441118544).

106457822656 is a wasteful number, since it uses less digits than its factorization.

106457822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4291 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 106457822656 in words is "one hundred six billion, four hundred fifty-seven million, eight hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 547 1094 1193 2188 2386 2549 4376 4772 5098 8752 9544 10196 17504 19088 20392 35008 38176 40784 76352 81568 163136 652571 1305142 1394303 2610284 2788606 3040957 5220568 5577212 6081914 10441136 11154424 12163828 20882272 22308848 24327656 41764544 44617696 48655312 89235392 97310624 194621248 1663403479 3326806958 6653613916 13307227832 26614455664 53228911328 106457822656