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22740766848 = 273414812
BaseRepresentation
bin10101001011011101…
…001001000010000000
32011200211202122120000
4111023131021002000
5333033114014343
614240313320000
71433352220542
oct251335110200
964624678500
1022740766848
11970a62a798
1244a7a06000
1321b5465c77
14115a2cb692
158d16a4ed3
hex54b749080

22740766848 has 120 divisors (see below), whose sum is σ = 67721880765. Its totient is φ = 7575137280.

The previous prime is 22740766847. The next prime is 22740766871. The reversal of 22740766848 is 84866704722.

It is a happy number.

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.

22740766848 is a `hidden beast` number, since 227 + 407 + 6 + 6 + 8 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22622566464 + 118200384 = 150408^2 + 10872^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=106632.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 22740766794 and 22740766803.

It is not an unprimeable number, because it can be changed into a prime (22740766843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15354268 + ... + 15355748.

Almost surely, 222740766848 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 22740766848

22740766848 is an abundant number, since it is smaller than the sum of its proper divisors (44981113917).

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

22740766848 is an frugal number, since it uses more digits than its factorization.

22740766848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 22740766848 in words is "twenty-two billion, seven hundred forty million, seven hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1481 1728 2592 2962 3456 4443 5184 5924 8886 10368 11848 13329 17772 23696 26658 35544 39987 47392 53316 71088 79974 94784 106632 119961 142176 159948 189568 213264 239922 284352 319896 426528 479844 568704 639792 853056 959688 1279584 1706112 1919376 2193361 2559168 3838752 4386722 5118336 6580083 7677504 8773444 13160166 15355008 17546888 19740249 26320332 35093776 39480498 52640664 59220747 70187552 78960996 105281328 118441494 140375104 157921992 177662241 210562656 236882988 280750208 315843984 355324482 421125312 473765976 631687968 710648964 842250624 947531952 1263375936 1421297928 1895063904 2526751872 2842595856 3790127808 5685191712 7580255616 11370383424 22740766848