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10516574320 = 245728366359
BaseRepresentation
bin10011100101101011…
…00011000001110000
31000010220210022212121
421302311203001300
5133014220334240
64455314404024
7521416256350
oct116265430160
930126708777
1010516574320
114507371a3a
122055b90614
13cb7a26655
1471a9d0b60
154183ec04a
hex272d63070

10516574320 has 80 divisors (see below), whose sum is σ = 28043205120. Its totient is φ = 3592887552.

The previous prime is 10516574311. The next prime is 10516574329. The reversal of 10516574320 is 2347561501.

It is an interprime number because it is at equal distance from previous prime (10516574311) and next prime (10516574329).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105165743202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10516574329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125301 + ... + 191659.

It is an arithmetic number, because the mean of its divisors is an integer number (350540064).

Almost surely, 210516574320 is an apocalyptic number.

10516574320 is a gapful number since it is divisible by the number (10) 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 10516574320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021602560).

10516574320 is an abundant number, since it is smaller than the sum of its proper divisors (17526630800).

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

10516574320 is a wasteful number, since it uses less digits than its factorization.

10516574320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66662 (or 66656 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The spelling of 10516574320 in words is "ten billion, five hundred sixteen million, five hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 283 560 566 1132 1415 1981 2264 2830 3962 4528 5660 7924 9905 11320 15848 19810 22640 31696 39620 66359 79240 132718 158480 265436 331795 464513 530872 663590 929026 1061744 1327180 1858052 2322565 2654360 3716104 4645130 5308720 7432208 9290260 18580520 18779597 37161040 37559194 75118388 93897985 131457179 150236776 187795970 262914358 300473552 375591940 525828716 657285895 751183880 1051657432 1314571790 1502367760 2103314864 2629143580 5258287160 10516574320