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2153777856 = 26338928837
BaseRepresentation
bin1000000001100000…
…0000101011000000
312120002201020210020
42000120000223000
513402331342411
6553414533440
7104241544506
oct20030005300
95502636706
102153777856
11a0582a1aa
12501367280
13284299989
14166088676
15c913b606
hex80600ac0

2153777856 has 56 divisors (see below), whose sum is σ = 5713384560. Its totient is φ = 716055552.

The previous prime is 2153777849. The next prime is 2153777909. The reversal of 2153777856 is 6587773512.

It is a junction number, because it is equal to n+sod(n) for n = 2153777799 and 2153777808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60270 + ... + 89106.

Almost surely, 22153777856 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 2153777856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856692280).

2153777856 is an abundant number, since it is smaller than the sum of its proper divisors (3559606704).

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

2153777856 is a wasteful number, since it uses less digits than its factorization.

2153777856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29241 (or 29231 counting only the distinct ones).

The product of its digits is 2469600, while the sum is 51.

The square root of 2153777856 is about 46408.8122666375. The cubic root of 2153777856 is about 1291.4183977882.

The spelling of 2153777856 in words is "two billion, one hundred fifty-three million, seven hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 389 778 1167 1556 2334 3112 4668 6224 9336 12448 18672 24896 28837 37344 57674 74688 86511 115348 173022 230696 346044 461392 692088 922784 1384176 1845568 2768352 5536704 11217593 22435186 33652779 44870372 67305558 89740744 134611116 179481488 269222232 358962976 538444464 717925952 1076888928 2153777856