Search a number
-
+
19764809423232 = 273199258647527
BaseRepresentation
bin1000111111001110110100…
…11100011101100110000000
32120222111102112220022001020
410133213122130131212000
510042311312203020412
6110011454511505440
74106650255062066
oct437473234354600
976874375808036
1019764809423232
116330232719745
122272676828280
13b04a76435a93
144c489c622036
152441dc28918c
hex11f9da71d980

19764809423232 has 64 divisors (see below), whose sum is σ = 52764095712000. Its totient is φ = 6555162898944.

The previous prime is 19764809423231. The next prime is 19764809423237. The reversal of 19764809423232 is 23232490846791.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19764809423231) by changing a digit.

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, 129247348 + ... + 129400179.

It is an arithmetic number, because the mean of its divisors is an integer number (824438995500).

Almost surely, 219764809423232 is an apocalyptic number.

19764809423232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19764809423232 is an abundant number, since it is smaller than the sum of its proper divisors (32999286288768).

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

19764809423232 is a wasteful number, since it uses less digits than its factorization.

19764809423232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258647743 (or 258647731 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 19764809423232 in words is "nineteen trillion, seven hundred sixty-four billion, eight hundred nine million, four hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 199 384 398 597 796 1194 1592 2388 3184 4776 6368 9552 12736 19104 25472 38208 76416 258647527 517295054 775942581 1034590108 1551885162 2069180216 3103770324 4138360432 6207540648 8276720864 12415081296 16553441728 24830162592 33106883456 49660325184 51470857873 99320650368 102941715746 154412573619 205883431492 308825147238 411766862984 617650294476 823533725968 1235300588952 1647067451936 2470601177904 3294134903872 4941202355808 6588269807744 9882404711616 19764809423232