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4169269664 = 25724164853
BaseRepresentation
bin1111100010000010…
…0000000110100000
3101202120012211202222
43320200200012200
532014313112124
61525413530212
7205214131100
oct37040400640
911676184688
104169269664
11184a49800a
12984343968
13515a09491
142b7a17200
1519605e25e
hexf88201a0

4169269664 has 72 divisors (see below), whose sum is σ = 9781409988. Its totient is φ = 1743221760.

The previous prime is 4169269661. The next prime is 4169269679. The reversal of 4169269664 is 4669629614.

It can be written as a sum of positive squares in 2 ways, for example, as 4093440400 + 75829264 = 63980^2 + 8708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4169269661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31862 + ... + 96714.

Almost surely, 24169269664 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 4169269664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4890704994).

4169269664 is an abundant number, since it is smaller than the sum of its proper divisors (5612140324).

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

4169269664 is a wasteful number, since it uses less digits than its factorization.

4169269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64918 (or 64903 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 53.

The square root of 4169269664 is about 64569.8820194059. The cubic root of 4169269664 is about 1609.4839934272.

The spelling of 4169269664 in words is "four billion, one hundred sixty-nine million, two hundred sixty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 41 49 56 82 98 112 164 196 224 287 328 392 574 656 784 1148 1312 1568 2009 2296 4018 4592 8036 9184 16072 32144 64288 64853 129706 259412 453971 518824 907942 1037648 1815884 2075296 2658973 3177797 3631768 5317946 6355594 7263536 10635892 12711188 14527072 18612811 21271784 25422376 37225622 42543568 50844752 74451244 85087136 101689504 130289677 148902488 260579354 297804976 521158708 595609952 1042317416 2084634832 4169269664