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2269326364416 = 28331697193469
BaseRepresentation
bin100001000001011110011…
…001000100111100000000
322000221112020220202001000
4201001132121010330000
5244140040022130131
64454303015412000
7322645010554416
oct41013631047400
98027466822030
102269326364416
117a5463631731
12307988984000
13135cc558ca47
147bb9bd132b6
153e06c84bce6
hex2105e644f00

2269326364416 has 144 divisors (see below), whose sum is σ = 6714786506400. Its totient is φ = 755992461312.

The previous prime is 2269326364381. The next prime is 2269326364439. The reversal of 2269326364416 is 6144636239622.

2269326364416 is a `hidden beast` number, since 2 + 26 + 93 + 2 + 63 + 64 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11632930 + ... + 11826398.

It is an arithmetic number, because the mean of its divisors is an integer number (46630461850).

Almost surely, 22269326364416 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 2269326364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357393253200).

2269326364416 is an abundant number, since it is smaller than the sum of its proper divisors (4445460141984).

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

2269326364416 is a wasteful number, since it uses less digits than its factorization.

2269326364416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195191 (or 195171 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 2269326364416 in words is "two trillion, two hundred sixty-nine billion, three hundred twenty-six million, three hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1697 1728 2304 3394 3456 5091 6788 6912 10182 13576 15273 20364 27152 30546 40728 45819 54304 61092 81456 91638 108608 122184 162912 183276 193469 217216 244368 325824 366552 386938 434432 488736 580407 651648 733104 773876 977472 1160814 1303296 1466208 1547752 1741221 1954944 2321628 2932416 3095504 3482442 3909888 4643256 5223663 5864832 6191008 6964884 9286512 10447326 11729664 12382016 13929768 18573024 20894652 24764032 27859536 37146048 41789304 49528064 55719072 74292096 83578608 111438144 148584192 167157216 222876288 328316893 334314432 445752576 656633786 668628864 984950679 1313267572 1337257728 1969901358 2626535144 2954852037 3939802716 5253070288 5909704074 7879605432 8864556111 10506140576 11819408148 15759210864 17729112222 21012281152 23638816296 31518421728 35458224444 42024562304 47277632592 63036843456 70916448888 84049124608 94555265184 126073686912 141832897776 189110530368 252147373824 283665795552 378221060736 567331591104 756442121472 1134663182208 2269326364416