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10690364928 = 29341169753
BaseRepresentation
bin10011111010011001…
…00000011000000000
31000121000210210202210
421331030200120000
5133343213134203
64524443342120
7525626413455
oct117514403000
930530723683
1010690364928
114596483441
1220a4221940
131014a35129
14735b0d82c
154287ca803
hex27d320600

10690364928 has 80 divisors (see below), whose sum is σ = 29174601456. Its totient is φ = 3476520960.

The previous prime is 10690364921. The next prime is 10690364959. The reversal of 10690364928 is 82946309601.

It is a super-2 number, since 2×106903649282 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10690364921) 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, 21901 + ... + 147852.

Almost surely, 210690364928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10690364928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587300728).

10690364928 is an abundant number, since it is smaller than the sum of its proper divisors (18484236528).

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

10690364928 is an equidigital number, since it uses as much as digits as its factorization.

10690364928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169815 (or 169799 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 10690364928 in words is "ten billion, six hundred ninety million, three hundred sixty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2624 3936 5248 7872 10496 15744 20992 31488 62976 169753 339506 509259 679012 1018518 1358024 2037036 2716048 4074072 5432096 6959873 8148144 10864192 13919746 16296288 20879619 21728384 27839492 32592576 41759238 43456768 55678984 65185152 83518476 86913536 111357968 130370304 167036952 222715936 260740608 334073904 445431872 668147808 890863744 1336295616 1781727488 2672591232 3563454976 5345182464 10690364928