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2269267993728 = 2732443832
BaseRepresentation
bin100001000001011010111…
…010011010010010000000
322000221101012002012111200
4201001122322122102000
5244134430101244403
64454253132341200
7322643401454451
oct41013272322200
98027335065450
102269267993728
117a543369399a
12307971314800
13135cb6463588
147bb9427b128
153e06766bca3
hex2105ae9a480

2269267993728 has 72 divisors (see below), whose sum is σ = 6530202166995. Its totient is φ = 756405621504.

The previous prime is 2269267993691. The next prime is 2269267993747. The reversal of 2269267993728 is 8273997629622.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

2269267993728 is a `hidden beast` number, since 2 + 26 + 92 + 67 + 99 + 372 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1134633996864 + 1134633996864 = 1065192^2 + 1065192^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1065192.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 51107025 + ... + 51151407.

Almost surely, 22269267993728 is an apocalyptic number.

It is an amenable number.

2269267993728 is an abundant number, since it is smaller than the sum of its proper divisors (4260934173267).

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

2269267993728 is an frugal number, since it uses more digits than its factorization.

2269267993728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88786 (or 44388 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

Multiplying 2269267993728 by its sum of digits (72), we get a square (163387295548416 = 127823042).

2269267993728 divided by its sum of digits (72) gives a square (31517611024 = 1775322).

The spelling of 2269267993728 in words is "two trillion, two hundred sixty-nine billion, two hundred sixty-seven million, nine hundred ninety-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 44383 88766 133149 177532 266298 355064 399447 532596 710128 798894 1065192 1420256 1597788 2130384 2840512 3195576 4260768 5681024 6391152 8521536 12782304 17043072 25564608 51129216 1969850689 3939701378 5909552067 7879402756 11819104134 15758805512 17728656201 23638208268 31517611024 35457312402 47276416536 63035222048 70914624804 94552833072 126070444096 141829249608 189105666144 252140888192 283658499216 378211332288 567316998432 756422664576 1134633996864 2269267993728