Search a number
-
+
81932033079 = 32133122589477
BaseRepresentation
bin100110001001110000…
…1111001110000110111
321211110222120112010200
41030103201321300313
52320244100024304
6101350011451543
75630231535051
oct1142341716067
9254428515120
1081932033079
1131824551136
1213a66a56bb3
1379594a2b60
143d735c08d1
1521e7e07e39
hex1313879c37

81932033079 has 24 divisors (see below), whose sum is σ = 131561119872. Its totient is φ = 48793268160.

The previous prime is 81932033033. The next prime is 81932033089. The reversal of 81932033079 is 97033023918.

81932033079 is a `hidden beast` number, since 8 + 19 + 320 + 3 + 307 + 9 = 666.

It is not a de Polignac number, because 81932033079 - 211 = 81932031031 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81932033009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11291112 + ... + 11298365.

It is an arithmetic number, because the mean of its divisors is an integer number (5481713328).

Almost surely, 281932033079 is an apocalyptic number.

81932033079 is a deficient number, since it is larger than the sum of its proper divisors (49629086793).

81932033079 is a wasteful number, since it uses less digits than its factorization.

81932033079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22589527 (or 22589524 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 81932033079 in words is "eighty-one billion, nine hundred thirty-two million, thirty-three thousand, seventy-nine".

Divisors: 1 3 9 13 31 39 93 117 279 403 1209 3627 22589477 67768431 203305293 293663201 700273787 880989603 2100821361 2642968809 6302464083 9103559231 27310677693 81932033079