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116385589761 = 37411109121889
BaseRepresentation
bin110110001100100011…
…1110010101000000001
3102010102010000112202120
41230121013302220001
53401324202333021
6125244455034453
711260100122140
oct1543107625001
9363363015676
10116385589761
11453a46a4221
121a68136ba29
13ac8a43019c
1458c12c5757
1530629e92c6
hex1b191f2a01

116385589761 has 32 divisors (see below), whose sum is σ = 181840377600. Its totient is φ = 64824913920.

The previous prime is 116385589711. The next prime is 116385589763. The reversal of 116385589761 is 167985583611.

It is a happy number.

It is not a de Polignac number, because 116385589761 - 214 = 116385573377 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116385589695 and 116385589704.

It is not an unprimeable number, because it can be changed into a prime (116385589763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893905 + ... + 1015793.

It is an arithmetic number, because the mean of its divisors is an integer number (5682511800).

Almost surely, 2116385589761 is an apocalyptic number.

It is an amenable number.

116385589761 is a deficient number, since it is larger than the sum of its proper divisors (65454787839).

116385589761 is a wasteful number, since it uses less digits than its factorization.

116385589761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123049.

The product of its digits is 10886400, while the sum is 60.

The spelling of 116385589761 in words is "one hundred sixteen billion, three hundred eighty-five million, five hundred eighty-nine thousand, seven hundred sixty-one".

Divisors: 1 3 7 21 41 123 287 861 1109 3327 7763 23289 45469 121889 136407 318283 365667 853223 954849 2559669 4997449 14992347 34982143 104946429 135174901 405524703 946224307 2838672921 5542170941 16626512823 38795196587 116385589761