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2545541152 = 257118091277
BaseRepresentation
bin1001011110111001…
…1110000000100000
320120101212212222221
42113232132000200
520203124304102
61100331440424
7120036512530
oct22756360040
96511785887
102545541152
111096989820
125b05b6114
133174b618b
141a21074c0
15ed724637
hex97b9e020

2545541152 has 96 divisors (see below), whose sum is σ = 6260768640. Its totient is φ = 989767680.

The previous prime is 2545541147. The next prime is 2545541179. The reversal of 2545541152 is 2511455452.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1992738 + ... + 1994014.

It is an arithmetic number, because the mean of its divisors is an integer number (65216340).

Almost surely, 22545541152 is an apocalyptic number.

2545541152 is a gapful number since it is divisible by the number (22) 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 2545541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130384320).

2545541152 is an abundant number, since it is smaller than the sum of its proper divisors (3715227488).

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

2545541152 is a wasteful number, since it uses less digits than its factorization.

2545541152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its digits is 40000, while the sum is 34.

The square root of 2545541152 is about 50453.3562015452. The cubic root of 2545541152 is about 1365.4004473014.

The spelling of 2545541152 in words is "two billion, five hundred forty-five million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 809 1232 1277 1618 2464 2554 3236 5108 5663 6472 8899 8939 10216 11326 12944 14047 17798 17878 20432 22652 25888 28094 35596 35756 40864 45304 56188 62293 71192 71512 90608 98329 112376 124586 142384 143024 181216 196658 224752 249172 284768 286048 393316 449504 498344 786632 996688 1033093 1573264 1993376 2066186 3146528 4132372 7231651 8264744 11364023 14463302 16529488 22728046 28926604 33058976 45456092 57853208 79548161 90912184 115706416 159096322 181824368 231412832 318192644 363648736 636385288 1272770576 2545541152