Search a number
-
+
5710669873152 = 216329399133
BaseRepresentation
bin101001100011001111001…
…1100110000000000000000
3202012221020101212020111020
41103012132130300000000
51222030422441420102
620051240122145440
71126403503004436
oct123063634600000
922187211766436
105710669873152
1119019772a2842
12782923952280
1332568ac400ca
1415a57db84d56
159d8333a7bbc
hex5319e730000

5710669873152 has 136 divisors (see below), whose sum is σ = 15280464796464. Its totient is φ = 1897040707584.

The previous prime is 5710669873127. The next prime is 5710669873211. The reversal of 5710669873152 is 2513789660175.

It is a super-2 number, since 2×57106698731522 (a number of 26 digits) contains 22 as substring.

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, 57556578 + ... + 57655710.

Almost surely, 25710669873152 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 5710669873152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640232398232).

5710669873152 is an abundant number, since it is smaller than the sum of its proper divisors (9569794923312).

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

5710669873152 is an frugal number, since it uses more digits than its factorization.

5710669873152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99461 (or 99431 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 5710669873152 in words is "five trillion, seven hundred ten billion, six hundred sixty-nine million, eight hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 512 586 768 879 1024 1172 1536 1758 2048 2344 3072 3516 4096 4688 6144 7032 8192 9376 12288 14064 16384 18752 24576 28128 32768 37504 49152 56256 65536 75008 98304 99133 112512 150016 196608 198266 225024 297399 300032 396532 450048 594798 600064 793064 900096 1189596 1200128 1586128 1800192 2379192 2400256 3172256 3600384 4758384 4800512 6344512 7200768 9516768 9601024 12689024 14401536 19033536 19202048 25378048 28803072 29045969 38067072 50756096 57606144 58091938 76134144 87137907 101512192 116183876 152268288 174275814 203024384 232367752 304536576 348551628 406048768 464735504 609073152 697103256 812097536 929471008 1218146304 1394206512 1624195072 1858942016 2436292608 2788413024 3248390144 3717884032 4872585216 5576826048 6496780288 7435768064 9745170432 11153652096 14871536128 19490340864 22307304192 29743072256 44614608384 59486144512 89229216768 118972289024 178458433536 237944578048 356916867072 475889156096 713833734144 951778312192 1427667468288 1903556624384 2855334936576 5710669873152