Search a number
-
+
97768725087 = 311197112717293
BaseRepresentation
bin101101100001101111…
…0000101101001011111
3100100100200002211111010
41123003132011221133
53100212243200322
6112525255030303
710030541310555
oct1330336055137
9310320084433
1097768725087
1138510995250
1216b4666b393
1392b147aa27
144a369a1bd5
1528233e120c
hex16c3785a5f

97768725087 has 64 divisors (see below), whose sum is σ = 153006243840. Its totient is φ = 54905558400.

The previous prime is 97768725029. The next prime is 97768725137. The reversal of 97768725087 is 78052786779.

It is not a de Polignac number, because 97768725087 - 27 = 97768724959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97768725017) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5645013 + ... + 5662305.

It is an arithmetic number, because the mean of its divisors is an integer number (2390722560).

Almost surely, 297768725087 is an apocalyptic number.

97768725087 is a deficient number, since it is larger than the sum of its proper divisors (55237518753).

97768725087 is a wasteful number, since it uses less digits than its factorization.

97768725087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17524.

The product of its (nonzero) digits is 82978560, while the sum is 66.

The spelling of 97768725087 in words is "ninety-seven billion, seven hundred sixty-eight million, seven hundred twenty-five thousand, eighty-seven".

Divisors: 1 3 11 19 33 57 71 127 209 213 381 627 781 1349 1397 2343 2413 4047 4191 7239 9017 14839 17293 26543 27051 44517 51879 79629 99187 171323 190223 297561 328567 513969 570669 985701 1227803 1884553 2196211 3614237 3683409 5653659 6588633 10842711 13505833 23328257 24158321 40517499 41728009 69984771 72474963 125184027 155930981 256610827 459008099 467792943 769832481 1377024297 1715240791 2962688639 5145722373 8888065917 32589575029 97768725087