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20645610112 = 272414011669
BaseRepresentation
bin10011001110100100…
…110000001010000000
31222021211100122211101
4103032210300022000
5314240234010422
613252351024144
71330421535061
oct231644601200
958254318741
1020645610112
1188349aa4a6
12400220b054
131c4038275a
14ddbd42568
1580c797c27
hex4ce930280

20645610112 has 64 divisors (see below), whose sum is σ = 41428391400. Its totient is φ = 10248192000.

The previous prime is 20645610109. The next prime is 20645610137. The reversal of 20645610112 is 21101654602.

It can be written as a sum of positive squares in 4 ways, for example, as 20444424256 + 201185856 = 142984^2 + 14184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12369214 + ... + 12370882.

Almost surely, 220645610112 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 20645610112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20714195700).

20645610112 is an abundant number, since it is smaller than the sum of its proper divisors (20782781288).

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

20645610112 is a wasteful number, since it uses less digits than its factorization.

20645610112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 20645610112 in words is "twenty billion, six hundred forty-five million, six hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 241 401 482 802 964 1604 1669 1928 3208 3338 3856 6416 6676 7712 12832 13352 15424 25664 26704 30848 51328 53408 96641 106816 193282 213632 386564 402229 669269 773128 804458 1338538 1546256 1608916 2677076 3092512 3217832 5354152 6185024 6435664 10708304 12370048 12871328 21416608 25742656 42833216 51485312 85666432 161293829 322587658 645175316 1290350632 2580701264 5161402528 10322805056 20645610112