Search a number
-
+
31969312768 = 2164797107
BaseRepresentation
bin11101110001100001…
…010000000000000000
310001111222220100122001
4131301201100000000
51010433121002033
622404141153344
72211141450331
oct356141200000
9101458810561
1031969312768
1112615930948
12624255b854
133026386723
141793bd6288
15c71978e7d
hex771850000

31969312768 has 136 divisors (see below), whose sum is σ = 66588262272. Its totient is φ = 15338569728.

The previous prime is 31969312747. The next prime is 31969312777. The reversal of 31969312768 is 86721396913.

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, 298778571 + ... + 298778677.

Almost surely, 231969312768 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 31969312768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33294131136).

31969312768 is an abundant number, since it is smaller than the sum of its proper divisors (34618949504).

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

31969312768 is an frugal number, since it uses more digits than its factorization.

31969312768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 253 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 55.

The spelling of 31969312768 in words is "thirty-one billion, nine hundred sixty-nine million, three hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 97 107 128 188 194 214 256 376 388 428 512 752 776 856 1024 1504 1552 1712 2048 3008 3104 3424 4096 4559 5029 6016 6208 6848 8192 9118 10058 10379 12032 12416 13696 16384 18236 20116 20758 24064 24832 27392 32768 36472 40232 41516 48128 49664 54784 65536 72944 80464 83032 96256 99328 109568 145888 160928 166064 192512 198656 219136 291776 321856 332128 385024 397312 438272 487813 583552 643712 664256 770048 794624 876544 975626 1167104 1287424 1328512 1540096 1589248 1753088 1951252 2334208 2574848 2657024 3080192 3178496 3506176 3902504 4668416 5149696 5314048 6356992 7012352 7805008 9336832 10299392 10628096 15610016 18673664 20598784 21256192 31220032 37347328 41197568 42512384 62440064 74694656 82395136 85024768 124880128 149389312 164790272 170049536 249760256 298778624 329580544 340099072 499520512 680198144 999041024 1998082048 3996164096 7992328192 15984656384 31969312768