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11492727196928 = 285373109106453
BaseRepresentation
bin1010011100111101101111…
…1011000000110100000000
31111200200201220210201022012
42213033123323000310000
53001244101130300203
640235404101232052
72264215331226335
oct247173373006400
944620656721265
1011492727196928
11373104698485a
12135744b102628
136549b48a1253
142ba37290898c
1514de43a87bd8
hexa73dbec0d00

11492727196928 has 144 divisors (see below), whose sum is σ = 23911182242640. Its totient is φ = 5509642125312.

The previous prime is 11492727196927. The next prime is 11492727196939. The reversal of 11492727196928 is 82969172729411.

It can be written as a sum of positive squares in 8 ways, for example, as 1882032784384 + 9610694412544 = 1371872^2 + 3100112^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11492727196927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107907350 + ... + 108013802.

It is an arithmetic number, because the mean of its divisors is an integer number (166049876685).

Almost surely, 211492727196928 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 11492727196928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11955591121320).

11492727196928 is an abundant number, since it is smaller than the sum of its proper divisors (12418455045712).

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

11492727196928 is a wasteful number, since it uses less digits than its factorization.

11492727196928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106704 (or 106690 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 68.

The spelling of 11492727196928 in words is "eleven trillion, four hundred ninety-two billion, seven hundred twenty-seven million, one hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 73 106 109 128 146 212 218 256 292 424 436 584 848 872 1168 1696 1744 2336 3392 3488 3869 4672 5777 6784 6976 7738 7957 9344 11554 13568 13952 15476 15914 18688 23108 27904 30952 31828 46216 61904 63656 92432 106453 123808 127312 184864 212906 247616 254624 369728 421721 425812 495232 509248 739456 843442 851624 990464 1018496 1478912 1686884 1703248 2036992 3373768 3406496 5642009 6747536 6812992 7771069 11284018 11603377 13495072 13625984 15542138 22568036 23206754 26990144 27251968 31084276 45136072 46413508 53980288 62168552 90272144 92827016 107960576 124337104 180544288 185654032 248674208 361088576 371308064 411866657 497348416 614978981 722177152 742616128 823733314 847046521 994696832 1229957962 1444354304 1485232256 1647466628 1694093042 1989393664 2459915924 2970464512 3294933256 3388186084 4919831848 6589866512 6776372168 9839663696 13179733024 13552744336 19679327392 26359466048 27105488672 39358654784 44893465613 52718932096 54210977344 78717309568 89786931226 105437864192 108421954688 157434619136 179573862452 216843909376 359147724904 718295449808 1436590899616 2873181799232 5746363598464 11492727196928