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10895975552 = 277211157931
BaseRepresentation
bin10100010010111001…
…10110010010000000
31001010100200220112002
422021130312102000
5134303332204202
65001110323132
7534004156400
oct121134662200
931110626462
1010895975552
114691548780
1221410594a8
131048505117
14755152800
1543b892302
hex289736480

10895975552 has 96 divisors (see below), whose sum is σ = 27546499440. Its totient is φ = 4245158400.

The previous prime is 10895975551. The next prime is 10895975557. The reversal of 10895975552 is 25557959801.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (10895975551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9974 + ... + 147957.

Almost surely, 210895975552 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 10895975552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773249720).

10895975552 is an abundant number, since it is smaller than the sum of its proper divisors (16650523888).

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

10895975552 is a wasteful number, since it uses less digits than its factorization.

10895975552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157970 (or 157951 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 56.

The spelling of 10895975552 in words is "ten billion, eight hundred ninety-five million, nine hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 2156 2464 3136 4312 4928 6272 8624 9856 17248 34496 68992 157931 315862 631724 1105517 1263448 1737241 2211034 2526896 3474482 4422068 5053792 6948964 7738619 8844136 10107584 12160687 13897928 15477238 17688272 20215168 24321374 27795856 30954476 35376544 48642748 55591712 61908952 70753088 85124809 97285496 111183424 123817904 141506176 170249618 194570992 222366848 247635808 340499236 389141984 495271616 680998472 778283968 990543232 1361996944 1556567936 2723993888 5447987776 10895975552