Search a number
-
+
1709551104 = 29310491061
BaseRepresentation
bin110010111100101…
…1010111000000000
311102010211012020120
41211321122320000
512000121113404
6441345340240
760235642002
oct14571327000
94363735216
101709551104
117a7aa7058
123b8637680
13213241a01
14123090372
15a013d9d9
hex65e5ae00

1709551104 has 80 divisors (see below), whose sum is σ = 4562989200. Its totient is φ = 568770560.

The previous prime is 1709551099. The next prime is 1709551121. The reversal of 1709551104 is 4011559071.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1610734 + ... + 1611794.

It is an arithmetic number, because the mean of its divisors is an integer number (57037365).

Almost surely, 21709551104 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 1709551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281494600).

1709551104 is an abundant number, since it is smaller than the sum of its proper divisors (2853438096).

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

1709551104 is a wasteful number, since it uses less digits than its factorization.

1709551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2131 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 33.

The square root of 1709551104 is about 41346.7181769001. The cubic root of 1709551104 is about 1195.7141332341.

The spelling of 1709551104 in words is "one billion, seven hundred nine million, five hundred fifty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1049 1061 1536 2098 2122 3147 3183 4196 4244 6294 6366 8392 8488 12588 12732 16784 16976 25176 25464 33568 33952 50352 50928 67136 67904 100704 101856 134272 135808 201408 203712 268544 271616 402816 407424 537088 543232 805632 814848 1112989 1611264 1629696 2225978 3338967 4451956 6677934 8903912 13355868 17807824 26711736 35615648 53423472 71231296 106846944 142462592 213693888 284925184 427387776 569850368 854775552 1709551104