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4161189888 = 2113375253
BaseRepresentation
bin1111100000000110…
…1011100000000000
3101202000000100102000
43320001223200000
532010231034023
61524524424000
7205055346642
oct37001534000
911660010360
104161189888
111845979609
129816a8000
1351413a94b
142b6912892
151954b5243
hexf806b800

4161189888 has 96 divisors (see below), whose sum is σ = 12326605200. Its totient is φ = 1387044864.

The previous prime is 4161189887. The next prime is 4161189889. The reversal of 4161189888 is 8889811614.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4161189887) and next prime (4161189889).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4161189887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17670 + ... + 92922.

Almost surely, 24161189888 is an apocalyptic number.

4161189888 is a gapful number since it is divisible by the number (48) 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 4161189888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6163302600).

4161189888 is an abundant number, since it is smaller than the sum of its proper divisors (8165415312).

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

4161189888 is an equidigital number, since it uses as much as digits as its factorization.

4161189888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75284 (or 75258 counting only the distinct ones).

The product of its digits is 884736, while the sum is 54.

The square root of 4161189888 is about 64507.2855420223. The cubic root of 4161189888 is about 1608.4436289888.

The spelling of 4161189888 in words is "four billion, one hundred sixty-one million, one hundred eighty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2048 2304 3072 3456 4608 6144 6912 9216 13824 18432 27648 55296 75253 150506 225759 301012 451518 602024 677277 903036 1204048 1354554 1806072 2031831 2408096 2709108 3612144 4063662 4816192 5418216 7224288 8127324 9632384 10836432 14448576 16254648 19264768 21672864 28897152 32509296 38529536 43345728 57794304 65018592 77059072 86691456 115588608 130037184 154118144 173382912 231177216 260074368 346765824 462354432 520148736 693531648 1040297472 1387063296 2080594944 4161189888