Search a number
-
+
34566412000640 = 275134154616827
BaseRepresentation
bin1111101110000000111101…
…01101010101110110000000
311112101111221200111100201012
413313000132231111312000
514012314002433010030
6201303331312100052
710165224625101062
oct767003655256600
9145344850440635
1034566412000640
1110017595480163
123a63251534628
1316397a2362340
14877047bbb732
153ee241ed7095
hex1f701eb55d80

34566412000640 has 64 divisors (see below), whose sum is σ = 88991892455760. Its totient is φ = 12762982889472.

The previous prime is 34566412000613. The next prime is 34566412000663. The reversal of 34566412000640 is 4600021466543.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2077300094 + ... + 2077316733.

Almost surely, 234566412000640 is an apocalyptic number.

It is an amenable number.

34566412000640 is an abundant number, since it is smaller than the sum of its proper divisors (54425480455120).

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

34566412000640 is a wasteful number, since it uses less digits than its factorization.

34566412000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4154616859 (or 4154616847 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 41.

The spelling of 34566412000640 in words is "thirty-four trillion, five hundred sixty-six billion, four hundred twelve million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 8320 4154616827 8309233654 16618467308 20773084135 33236934616 41546168270 54010018751 66473869232 83092336540 108020037502 132947738464 166184673080 216040075004 265895476928 270050093755 332369346160 432080150008 531790953856 540100187510 664738692320 864160300016 1080200375020 1329477384640 1728320600032 2160400750040 2658954769280 3456641200064 4320801500080 6913282400128 8641603000160 17283206000320 34566412000640