Search a number
-
+
5461034712 = 233731739023
BaseRepresentation
bin1010001011000000…
…01100011011011000
3112002120220022021220
411011200030123120
542141011102322
62301520532040
7252221013000
oct50540143330
915076808256
105461034712
112352680231
121084a81020
136905200b3
1439b3d3000
1521e67455c
hex14580c6d8

5461034712 has 128 divisors (see below), whose sum is σ = 16858368000. Its totient is φ = 1468475904.

The previous prime is 5461034707. The next prime is 5461034753. The reversal of 5461034712 is 2174301645.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 120433 + ... + 159455.

It is an arithmetic number, because the mean of its divisors is an integer number (131706000).

Almost surely, 25461034712 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 5461034712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8429184000).

5461034712 is an abundant number, since it is smaller than the sum of its proper divisors (11397333288).

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

5461034712 is a wasteful number, since it uses less digits than its factorization.

5461034712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39070 (or 39052 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 5461034712 is about 73898.8140094278. The cubic root of 5461034712 is about 1760.9957682943.

The spelling of 5461034712 in words is "five billion, four hundred sixty-one million, thirty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 49 51 56 68 84 98 102 119 136 147 168 196 204 238 294 343 357 392 408 476 588 686 714 833 952 1029 1176 1372 1428 1666 2058 2499 2744 2856 3332 4116 4998 5831 6664 8232 9996 11662 17493 19992 23324 34986 39023 46648 69972 78046 117069 139944 156092 234138 273161 312184 468276 546322 663391 819483 936552 1092644 1326782 1638966 1912127 1990173 2185288 2653564 3277932 3824254 3980346 4643737 5307128 5736381 6555864 7648508 7960692 9287474 11472762 13384889 13931211 15297016 15921384 18574948 22945524 26769778 27862422 32506159 37149896 40154667 45891048 53539556 55724844 65012318 80309334 97518477 107079112 111449688 130024636 160618668 195036954 227543113 260049272 321237336 390073908 455086226 682629339 780147816 910172452 1365258678 1820344904 2730517356 5461034712