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10010555568 = 24321347113777
BaseRepresentation
bin10010101001010110…
…01111010010110000
3221211122121220122100
421110223033102300
5131000200234233
64333200540400
7503033214126
oct112453172260
927748556570
1010010555568
114277774622
121b34621700
13c36c44b80
146ad70d916
153d8c95813
hex254acf4b0

10010555568 has 120 divisors (see below), whose sum is σ = 30812902848. Its totient is φ = 3014608896.

The previous prime is 10010555567. The next prime is 10010555629. The reversal of 10010555568 is 86555501001.

It is a super-2 number, since 2×100105555682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10010555561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31096 + ... + 144872.

Almost surely, 210010555568 is an apocalyptic number.

10010555568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010555568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15406451424).

10010555568 is an abundant number, since it is smaller than the sum of its proper divisors (20802347280).

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

10010555568 is a wasteful number, since it uses less digits than its factorization.

10010555568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113851 (or 113842 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 36.

The spelling of 10010555568 in words is "ten billion, ten million, five hundred fifty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 21996 29328 43992 87984 113777 227554 341331 455108 682662 910216 1023993 1365324 1479101 1820432 2047986 2730648 2958202 4095972 4437303 5347519 5461296 5916404 8191944 8874606 10695038 11832808 13311909 16042557 16383888 17749212 21390076 23665616 26623818 32085114 35498424 42780152 48127671 53247636 64170228 69517747 70996848 85560304 96255342 106495272 128340456 139035494 192510684 208553241 212990544 256680912 278070988 385021368 417106482 556141976 625659723 770042736 834212964 1112283952 1251319446 1668425928 2502638892 3336851856 5005277784 10010555568