Search a number
-
+
1154541654016 = 21210321632
BaseRepresentation
bin10000110011010000000…
…010111001000000000000
311002101001222210212102121
4100303100002321000000
5122404000130412031
62242220014254024
7146261422065052
oct20632002710000
94071058725377
101154541654016
11405702734a13
121679117b7314
1384b4674712a
143dc470678d2
1520073e11011
hex10cd00b9000

1154541654016 has 117 divisors (see below), whose sum is σ = 2345825642139. Its totient is φ = 568159100928.

The previous prime is 1154541653987. The next prime is 1154541654041. The reversal of 1154541654016 is 6104561454511.

The square root of 1154541654016 is 1074496.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7083077551 + ... + 7083077713.

Almost surely, 21154541654016 is an apocalyptic number.

1154541654016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1154541654016 is the 1074496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1154541654016

1154541654016 is an abundant number, since it is smaller than the sum of its proper divisors (1191283988123).

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

1154541654016 is an frugal number, since it uses more digits than its factorization.

1154541654016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 1154541654016 in words is "one trillion, one hundred fifty-four billion, five hundred forty-one million, six hundred fifty-four thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 103 128 163 206 256 326 412 512 652 824 1024 1304 1648 2048 2608 3296 4096 5216 6592 10432 10609 13184 16789 20864 21218 26368 26569 33578 41728 42436 52736 53138 67156 83456 84872 105472 106276 134312 166912 169744 210944 212552 268624 333824 339488 421888 425104 537248 667648 678976 850208 1074496 1357952 1700416 1729267 2148992 2715904 2736607 3400832 3458534 4297984 5431808 5473214 6801664 6917068 8595968 10863616 10946428 13603328 13834136 17191936 21727232 21892856 27206656 27668272 34383872 43454464 43785712 54413312 55336544 68767744 87571424 108826624 110673088 175142848 221346176 281870521 350285696 442692352 563741042 700571392 885384704 1127482084 1401142784 1770769408 2254964168 2802285568 3541538816 4509928336 5604571136 7083077632 9019856672 11209142272 18039713344 36079426688 72158853376 144317706752 288635413504 577270827008 1154541654016