Search a number
-
+
3261769380768 = 2531719105191221
BaseRepresentation
bin101111011101110000100…
…110101111001110100000
3102112211012022112121210210
4233131300212233032200
5411420100430141033
610534234113454120
7454440454165233
oct57356046571640
912484168477723
103261769380768
111048343865998
1244819bb71340
131a8778038512
14b3c2885341a
1559ca5926d63
hex2f7709af3a0

3261769380768 has 96 divisors (see below), whose sum is σ = 9542947659840. Its totient is φ = 969442283520.

The previous prime is 3261769380731. The next prime is 3261769380799. The reversal of 3261769380768 is 8670839671623.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3261769380699 and 3261769380708.

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 15 ways as a sum of consecutive naturals, for example, 52564603 + ... + 52626618.

It is an arithmetic number, because the mean of its divisors is an integer number (99405704790).

Almost surely, 23261769380768 is an apocalyptic number.

3261769380768 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

3261769380768 is an abundant number, since it is smaller than the sum of its proper divisors (6281178279072).

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

3261769380768 is a wasteful number, since it uses less digits than its factorization.

3261769380768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105191270 (or 105191262 counting only the distinct ones).

The product of its (nonzero) digits is 109734912, while the sum is 66.

The spelling of 3261769380768 in words is "three trillion, two hundred sixty-one billion, seven hundred sixty-nine million, three hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 31008 105191221 210382442 315573663 420764884 631147326 841529768 1262294652 1683059536 1788250757 1998633199 2524589304 3366119072 3576501514 3997266398 5049178608 5364752271 5995899597 7153003028 7994532796 10098357216 10729504542 11991799194 14306006056 15989065592 21459009084 23983598388 28612012112 31978131184 33976764383 42918018168 47967196776 57224024224 63956262368 67953528766 85836036336 95934393552 101930293149 135907057532 171672072672 191868787104 203860586298 271814115064 407721172596 543628230128 815442345192 1087256460256 1630884690384 3261769380768