Search a number
-
+
29688752856 = 2337449393583
BaseRepresentation
bin11011101001100101…
…100110101011011000
32211122001121220120010
4123221211212223120
5441300310042411
621345553001520
72100500143530
oct335145465330
984561556503
1029688752856
1111655588494
1259068532a0
132a51a59ba9
141618d884c0
15b8b6477a6
hex6e9966ad8

29688752856 has 64 divisors (see below), whose sum is σ = 85014144000. Its totient is φ = 8463587328.

The previous prime is 29688752851. The next prime is 29688752867. The reversal of 29688752856 is 65825788692.

It is a super-2 number, since 2×296887528562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29688752851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121360 + ... + 272223.

It is an arithmetic number, because the mean of its divisors is an integer number (1328346000).

Almost surely, 229688752856 is an apocalyptic number.

It is an amenable number.

29688752856 is an abundant number, since it is smaller than the sum of its proper divisors (55325391144).

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

29688752856 is a wasteful number, since it uses less digits than its factorization.

29688752856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394048 (or 394044 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 66.

The spelling of 29688752856 in words is "twenty-nine billion, six hundred eighty-eight million, seven hundred fifty-two thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 449 898 1347 1796 2694 3143 3592 5388 6286 9429 10776 12572 18858 25144 37716 75432 393583 787166 1180749 1574332 2361498 2755081 3148664 4722996 5510162 8265243 9445992 11020324 16530486 22040648 33060972 66121944 176718767 353437534 530156301 706875068 1060312602 1237031369 1413750136 2120625204 2474062738 3711094107 4241250408 4948125476 7422188214 9896250952 14844376428 29688752856