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11019474320 = 245614095521
BaseRepresentation
bin10100100001100111…
…11101010110010000
31001102222002021222112
422100303331112100
5140031441134240
65021241324452
7540033662201
oct122063752620
931388067875
1011019474320
11474522a178
122176496728
131067c8570a
147676dd5a8
15447639665
hex290cfd590

11019474320 has 80 divisors (see below), whose sum is σ = 26108678640. Its totient is φ = 4324147200.

The previous prime is 11019474233. The next prime is 11019474329. The reversal of 11019474320 is 2347491011.

It can be written as a sum of positive squares in 8 ways, for example, as 634233856 + 10385240464 = 25184^2 + 101908^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11019474329) 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, 1993160 + ... + 1998680.

It is an arithmetic number, because the mean of its divisors is an integer number (326358483).

Almost surely, 211019474320 is an apocalyptic number.

11019474320 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 11019474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13054339320).

11019474320 is an abundant number, since it is smaller than the sum of its proper divisors (15089204320).

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

11019474320 is a wasteful number, since it uses less digits than its factorization.

11019474320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6004 (or 5998 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 11019474320 in words is "eleven billion, nineteen million, four hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 409 488 610 818 976 1220 1636 2045 2440 3272 4090 4880 5521 6544 8180 11042 16360 22084 24949 27605 32720 44168 49898 55210 88336 99796 110420 124745 199592 220840 249490 336781 399184 441680 498980 673562 997960 1347124 1683905 1995920 2258089 2694248 3367810 4516178 5388496 6735620 9032356 11290445 13471240 18064712 22580890 26942480 36129424 45161780 90323560 137743429 180647120 275486858 550973716 688717145 1101947432 1377434290 2203894864 2754868580 5509737160 11019474320