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11854242048 = 2831111531217
BaseRepresentation
bin10110000101001000…
…10110000100000000
31010121010211220000210
423002210112010000
5143234141221143
65240141314120
7566521252305
oct130244260400
933533756023
1011854242048
115033457560
122369b65940
13116bbbc70c
148065190ac
15495a7d033
hex2c2916100

11854242048 has 144 divisors (see below), whose sum is σ = 34475870016. Its totient is φ = 3586129920.

The previous prime is 11854242047. The next prime is 11854242053. The reversal of 11854242048 is 84024245811.

It is a junction number, because it is equal to n+sod(n) for n = 11854241997 and 11854242015.

It is not an unprimeable number, because it can be changed into a prime (11854242047) 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, 9739936 + ... + 9741152.

It is an arithmetic number, because the mean of its divisors is an integer number (239415764).

Almost surely, 211854242048 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 11854242048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17237935008).

11854242048 is an abundant number, since it is smaller than the sum of its proper divisors (22621627968).

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

11854242048 is a wasteful number, since it uses less digits than its factorization.

11854242048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

Adding to 11854242048 its reverse (84024245811), we get a palindrome (95878487859).

The spelling of 11854242048 in words is "eleven billion, eight hundred fifty-four million, two hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1153 1217 1408 2112 2306 2434 2816 3459 3651 4224 4612 4868 6918 7302 8448 9224 9736 12683 13387 13836 14604 18448 19472 25366 26774 27672 29208 36896 38049 38944 40161 50732 53548 55344 58416 73792 76098 77888 80322 101464 107096 110688 116832 147584 152196 155776 160644 202928 214192 221376 233664 295168 304392 311552 321288 405856 428384 442752 467328 608784 642576 811712 856768 885504 934656 1217568 1285152 1403201 1623424 1713536 2435136 2570304 2806402 3246848 3427072 4209603 4870272 5140608 5612804 8419206 9740544 10281216 11225608 15435211 16838412 22451216 30870422 33676824 44902432 46305633 61740844 67353648 89804864 92611266 123481688 134707296 179609728 185222532 246963376 269414592 359219456 370445064 493926752 538829184 740890128 987853504 1077658368 1481780256 1975707008 2963560512 3951414016 5927121024 11854242048